Mathematics is a way of thinking and interacting that is older than any country in the world, yet still finds its way into the everyday processes of modern life. Nationally acclaimed astrophysicist, Neil deGrasse Tyson once said, “Math is not the calculation of things. It’s about understanding the operations of nature at their deepest level. Mathematics students seek to grab hold of this understanding.
Allan Hancock College’s mathematics program is focused on building knowledge and understanding of the world via the language of math. Students will explore applications, develop their vocabulary, and expand their potential for processing and communicating. Mathematicians are essential in financial planning, software development, economics, engineering, data science, market research analysis, insurance, and many other fields. Mathematics can also be used as a foundation for studying the sciences.
If you are looking for a path that builds knowledge and possibilities, look no further. A mathematics degree for transfer is a boost to a bigger, broader, and better future.
Know math, know the odds... and then change them for yourself.
This program will help you to:
- utilize a broad range of problem-solving techniques and strategies
- identify, analyze, and solve problems pertaining to the world around them
- represent mathematical information symbolically, graphically, numerically, and in writing, so that they may communicate effectively
- interpret and draw inferences from mathematical models such as formulas, graphs, and tables
- create and analyze mathematical models of real world and/or theoretical situations
- Use appropriate technologies to analyze and solve mathematical problems
- become a more effective and efficient problem solver
Suggested Course Sequence
The “Suggested Course Sequence” is an example of how to complete the requirements plus any additional general education that may be needed. If you would like to create a personalized Student Education Plan (SEP), schedule a meeting with a counselor.
This suggested plan assumes a student is eligible for MATH 181.
Fall Semester (Year 1)
Course #
Course Title
Units
Prerequisite : Placement based upon Allan Hancock College's placement policy.
Designed to help students enhance their analytical reading and writing skills using a wide variety of texts. Emphasizes college-level expository essay construction, communication, and research methods leading to the preparation and writing of a research paper.
The first in a two-semester sequence comprising first-year calculus. Topics include functions, limits, continuity, the derivative, differentiation of algebraic, trigonometric and transcendental functions, applications of differentiation, the definite integral, and the use of technology to solve calculus problems.
Intended for students pursuing majors in a STEM discipline. Introduces students to related career choices, academic planning, and college resources. Develops appropriate skills necessary for academic success in a STEM major.
Select one course from area C1: Arts or from area C2: Humanities
Total Units:
12
Spring Semester (Year 1)
Course #
Course Title
Units
Prerequisite : MATH 181
The second in a two-semester sequence comprising first-year calculus. Topics include methods and applications of integration, sequences and series, Taylor series, an introduction to differential equations, and the use of technology to solve calculus problems.
Select one course from this list.
If you did not satisfy this requirement with high school coursework or an external exam, complete one of the courses from this list. If you are unsure if you have met this requirement, see a counselor.
- ES 120: Chicano History
- ES 121: African American History
- HIST 120: Chicano History
- HIST 121: African American History
NOTE: Students who started at Allan Hancock College (or any CCC or CSU) prior to Summer 2021 and have maintained continuous enrollment are not required to complete Area F for CSU GE Certification. See a counselor for further information.
Total Units:
13+
Summer Semester (Year 2)
Course #
Course Title
Units
Choose one of the following courses:
- ENGL 103, Critical Thinking and Composition
- PHIL 112, Logic
- PHIL 114, Critical Thinking
- COMM 106, Argumentation and Debate
Select one course from this list.
Total Units:
6
Fall Semester (Year 2)
Course #
Course Title
Units
Prerequisite : MATH 182
Topics include vectors, functions of several variables; differentiation and integration in several dimensions; change of variables; parameterized curves and vector fields, line and surface integrals; Green's, Stokes', and divergence theorems.
Choose one of the following courses:
- COMM 101, Public Speaking,
- COMM 102, Small Group Communication,
- COMM 106, Argumentation and Debate,
Select one course from this list.
Select one course from this list.
Total Units:
13
Spring Semester (Year 2)
Course #
Course Title
Units
Prerequisite : MATH 182
First order ordinary differential equations, including separable, linear, homogeneous of degree zero, Bernoulli and exact with applications and numerical methods. Solutions to higher order differential equations using undetermined coefficients, variation of parameters, and power series, with applications. Solutions to linear and non-linear systems of differential equations, including numerical solutions. Matrix algebra, solutions of linear systems of equations, and determinants. Vector spaces, linear independence, basis and dimension, subspace and inner product space, including the Gram-Schmidt procedure. Linear transformations, kernel and range, eigenvalues, eigenvectors, diagonalization and symmetric matrices.
Select one course from this list.
Recommended one from this list:
- POLS 101, Introduction to Political Science
- POLS 103, American Government
Or choose a course from this list.
Note: Recommended courses also fulfill CSU US History and American Institutions Graduation Requirement
Recommended one from this list:
- ES 121, African American History
- HIST 107, US History to 1877
- HIST 108, US History from 1877 to the Present
- HIST 118, U S History American Institutions Requirement
Or choose a course from this list.
Note: Recommended courses also fulfill CSU US History and American Institutions Graduation Requirement
Total Units:
14+
Program Requirements:
"Program Requirements" specify the courses required for this program. See suggested course sequence for additional information.
Suggested Course Sequence
The “Suggested Course Sequence” is an example of how to complete the requirements plus any additional general education that may be needed. If you would like to create a personalized Student Education Plan (SEP), schedule a meeting with a counselor.
This suggested plan assumes a student is eligible for MATH 181.
Fall Semester (Year 1)
Course #
Course Title
Units
Prerequisite : Placement based upon Allan Hancock College's placement policy.
Designed to help students enhance their analytical reading and writing skills using a wide variety of texts. Emphasizes college-level expository essay construction, communication, and research methods leading to the preparation and writing of a research paper.
The first in a two-semester sequence comprising first-year calculus. Topics include functions, limits, continuity, the derivative, differentiation of algebraic, trigonometric and transcendental functions, applications of differentiation, the definite integral, and the use of technology to solve calculus problems.
Intended for students pursuing majors in a STEM discipline. Introduces students to related career choices, academic planning, and college resources. Develops appropriate skills necessary for academic success in a STEM major.
Select one course from area Area 3A: Arts or from area Area 3B: Humanities
Total Units:
12
Spring Semester (Year 1)
Course #
Course Title
Units
Prerequisite : MATH 181
The second in a two-semester sequence comprising first-year calculus. Topics include methods and applications of integration, sequences and series, Taylor series, an introduction to differential equations, and the use of technology to solve calculus problems.
Select one course from this list.
If you are planning to transfer to a CSU campus, it is recommended that you take one U.S. History course (HIST 107, 108 or 118) AND one American Institutions (POLS 101 or 103) course. If not, select one course from this list.
Total Units:
13+
Summer Semester (Year 2)
Course #
Course Title
Units
Choose one of the following courses:
- ENGL 103, Critical Thinking and Composition
- PHIL 114, Critical Thinking
You can choose a course in any subject that has a 100-199 in its title. For example ENGL 100 or ASTR 121.
NOTE: Not all 100-level courses are UC-transferable. See the IGETC sheet for UC eligible courses.
Total Units:
6
Fall Semester (Year 2)
Course #
Course Title
Units
Prerequisite : MATH 182
Topics include vectors, functions of several variables; differentiation and integration in several dimensions; change of variables; parameterized curves and vector fields, line and surface integrals; Green's, Stokes', and divergence theorems.
Choose one of the following courses:
- COMM 101, Public Speaking
- COMM 102, Small Group Communication
- COMM 106, Argumentation and Debate
You can choose a course in any subject that has a 100-199 in its title. For example ENGL 100 or ASTR 121.
NOTE: Not all 100-level courses are UC-transferable. See the IGETC sheet for UC eligible courses.
Select one course from this list.
If you did not satisfy this requirement with high school coursework or an external exam, complete one of the courses from this list. If you are unsure if you have met this requirement, see a counselor.
- ES 120: Chicano History
- ES 121: African American History
- HIST 120: Chicano History
- HIST 121: African American History
Select one course from this list.
Total Units:
13
Spring Semester (Year 2)
Course #
Course Title
Units
Prerequisite : MATH 182
First order ordinary differential equations, including separable, linear, homogeneous of degree zero, Bernoulli and exact with applications and numerical methods. Solutions to higher order differential equations using undetermined coefficients, variation of parameters, and power series, with applications. Solutions to linear and non-linear systems of differential equations, including numerical solutions. Matrix algebra, solutions of linear systems of equations, and determinants. Vector spaces, linear independence, basis and dimension, subspace and inner product space, including the Gram-Schmidt procedure. Linear transformations, kernel and range, eigenvalues, eigenvectors, diagonalization and symmetric matrices.
Select one course from this list.
If you are planning to transfer to a CSU campus, it is recommended that you take one U.S. History course (HIST 107, 108 or 118) AND one American Institutions (POLS 101 or 103) course. If not, select one course from this list.
Total Units:
14+
Suggested Course Sequence
The "Suggested Course Sequence" is an example of how to complete the requirements plus any additional general education that may be needed. If you would like to create a personalized Student Education Plan (SEP), schedule a meeting with a counselor.
This suggested plan assumes a student is eligible for MATH 181 and PHYS 161.
Fall Semester (Year 1)
Course #
Course Title
Units
You can choose a course in any subject that has a 100-199 in its title. For example ENGL 100 or ASTR 121.
NOTE: Not all 100-level courses are UC-transferable. See the IGETC sheet for UC eligible courses.
Prerequisite : Placement based upon Allan Hancock College's placement policy.
Designed to help students enhance their analytical reading and writing skills using a wide variety of texts. Emphasizes college-level expository essay construction, communication, and research methods leading to the preparation and writing of a research paper.
The first in a two-semester sequence comprising first-year calculus. Topics include functions, limits, continuity, the derivative, differentiation of algebraic, trigonometric and transcendental functions, applications of differentiation, the definite integral, and the use of technology to solve calculus problems.
Intended for students pursuing majors in a STEM discipline. Introduces students to related career choices, academic planning, and college resources. Develops appropriate skills necessary for academic success in a STEM major.
Total Units:
12
Spring Semester (Year 1)
Course #
Course Title
Units
Prerequisite : MATH 181
The second in a two-semester sequence comprising first-year calculus. Topics include methods and applications of integration, sequences and series, Taylor series, an introduction to differential equations, and the use of technology to solve calculus problems.
The initial semester of a three-semester course in calculus-based physics which emphasizes the origin, nature and application of fundamental concepts and principles. Required for most baccalaureate majors in the physical sciences, engineering and mathematics. Emphasizes mechanics, including measurement, linear and planar motion, statics and dynamics of particles and systems of particles, rigid, elastic and fluid systems.
Courses that meet this requirement:
- Ethnic Studies 121
- History 107, 108, 118, 119, 121
- Political Science 101, 103
Select one course from the list below to fulfill the requirements for both GE Area 7: Living Skills and AHC Grad: Health Education and Safety.
- Early Childhood Studies 102
- Emergency Medical Services 102
- Food Science and Nutrition 109
- Health Education 100
- Personal Development 101
Total Units:
14
Summer Semester (Year 2)
Course #
Course Title
Units
Select one course from this list.
You can choose a course in any subject that has a 100-199 in its title. For example ENGL 100 or ASTR 121.
NOTE: Not all 100-level courses are UC-transferable. See the IGETC sheet for UC eligible courses.
Total Units:
3.5-6
Fall Semester (Year 2)
Course #
Course Title
Units
Prerequisite : MATH 182
Topics include vectors, functions of several variables; differentiation and integration in several dimensions; change of variables; parameterized curves and vector fields, line and surface integrals; Green's, Stokes', and divergence theorems.
A continuation of PHYS 161 which discusses electrostatic forces, fields and potentials, steady electric currents and circuits, magnetic forces and fields, induced electric and magnetic fields, electric and magnetic properties of continuous media, reactive circuits, and electromagnetic waves.
Select one course from the list below.
- American Sign Language 138
- Art 101, 103, 104, 105, 109, 170
- Communication Studies 108
- Dance 101, 110, 120, 130, 147
- Drama 103, 110, 111
- Early Childhood Studies 116, 123
- English 102, 106, 117, 118, 119, 130, 131, 132, 133, 135, 138,139, 140, 144, 145, 146, 148, 180
- Ethnic Studies 105, 120, 122
- Fashion 104, 105
- Film 101, 102, 103, 104, 108, 109, 110, 122
- French 101, 102
- Graphics 127
- History 101, 102, 103, 104, 105, 120, 138
- Humanities 101, 102, 103, 104, 105
- Library 180
- Multimedia Arts and Communication 101, 102
- Music 100, 101, 102, 104, 106
- Philosophy 101, 102, 105, 121, 122
- Photo 110
- Spanish 101, 102, 103, 104, 105, 112
Courses that meet this requirement:
- Communication Studies 100, 101, 102, 106
- English 103, 104
- Philosophy 112, 114
Total Units:
14+
Spring Semester (Year 2)
Course #
Course Title
Units
Prerequisite : MATH 182
First order ordinary differential equations, including separable, linear, homogeneous of degree zero, Bernoulli and exact with applications and numerical methods. Solutions to higher order differential equations using undetermined coefficients, variation of parameters, and power series, with applications. Solutions to linear and non-linear systems of differential equations, including numerical solutions. Matrix algebra, solutions of linear systems of equations, and determinants. Vector spaces, linear independence, basis and dimension, subspace and inner product space, including the Gram-Schmidt procedure. Linear transformations, kernel and range, eigenvalues, eigenvectors, diagonalization and symmetric matrices.
Courses that meet this requirement:
- Anthropology 101, 110 (when taken in conjunction with 101)
- Astronomy 100
- Biology 100, 120, 124, 132
- Chemistry 110, 120
- Environmental Technology 101
- Food Science and Nutrition 110
- Geography 101, 115
- Geology 100, 111, 114, 115, 131, 141
- Physical Science 111, 112
- Physics 100
- Viticulture and Enology 102
If you take any of the following courses, you will also satisfy the Multicultural/Gender Studies requirement:
Courses that meet this requirement:
- Administration of Justice 101, 103, 115
- Anthropology 102, 103, 105, 107
- Business 121, 141
- Communications Studies 100, 110
- Early Childhood Studies 100, 101
- Economics 101, 102, 121, 141
- English 105, 150, 151,152, 153
- Ethnic Studies 101, 107, 150, 151,152, 153
- Geography 102, 103, 105
- Global Studies 141
- Graphics 127
- LGBT 101, 102
- Physical Education 128
- Political Science 101, 104, 105, 110
- Psychology 101, 112, 113, 117, 118, 119, 121
- Sociology 101, 102, 104, 120, 122, 155, 160
Courses that meet this requirement:
- Anthropology 107
- English 150, 151, 152, 153
- Ethnic Studies 101, 105, 107, 120, 121, 122, 150, 151, 152, 153
- Fashion 105
- Film 122
- History 120, 121
ALL courses in this category also fulfill the AHC Graduation Requirement: Multicultural and Gender Studies
You can choose a course in any subject that has a 100-199 in its title. For example ENGL 100 or ASTR 121.
NOTE: Not all 100-level courses are UC-transferable. See the IGETC sheet for UC eligible courses.
You can choose a course in any subject that has a 100-199 in its title. For example ENGL 100 or ASTR 121.
NOTE: Not all 100-level courses are UC-transferable. See the IGETC sheet for UC eligible courses.
Total Units:
17
Program Requirements:
"Program Requirements" specify the courses required for this program. See suggested course sequence for additional information.
Suggested Course Sequence
The "Suggested Course Sequence" is an example of how to complete the requirements plus any additional general education that may be needed. If you would like to create a personalized Student Education Plan (SEP), schedule a meeting with a counselor.
This suggested plan assumes a student is eligible for MATH 181.
Fall Semester (Year 1)
Course #
Course Title
Units
Basic principles of algorithmic problem solving and programming using methods of top-down design, stepwise refinement and procedural abstraction. Basic control structures, data types, and input/output. Introduction to the software development process: design, implementation, testing and documentation. The syntax and semantics of a modern programming language.
Prerequisite : Placement based upon Allan Hancock College's placement policy.
Designed to help students enhance their analytical reading and writing skills using a wide variety of texts. Emphasizes college-level expository essay construction, communication, and research methods leading to the preparation and writing of a research paper.
The first in a two-semester sequence comprising first-year calculus. Topics include functions, limits, continuity, the derivative, differentiation of algebraic, trigonometric and transcendental functions, applications of differentiation, the definite integral, and the use of technology to solve calculus problems.
Intended for students pursuing majors in a STEM discipline. Introduces students to related career choices, academic planning, and college resources. Develops appropriate skills necessary for academic success in a STEM major.
Total Units:
13
Spring Semester (Year 1)
Course #
Course Title
Units
Prerequisite : CS 111
An introduction to the discrete structures of computing, including propositional and predicate logic, methods of proof, functions, computer arithmetic, algorithm complexity, recursion, graphs, trees, sets and relations, networks, induction, and combinatorics.
Prerequisite : MATH 181
The second in a two-semester sequence comprising first-year calculus. Topics include methods and applications of integration, sequences and series, Taylor series, an introduction to differential equations, and the use of technology to solve calculus problems.
Courses that meet this requirement:
- Ethnic Studies 121
- History 107, 108, 118, 119, 121
- Political Science 101, 103
Courses that meet this requirement:
- Communication Studies 100, 101, 102, 106
- English 103, 104
- Philosophy 112, 114
Students will learn and synthesize information concerning the impact of the social determinants of health, including education, socioeconomic status, race, sexual orientation, disability and gender. Students are provided with a broad foundation of knowledge dealing with such social determinants in mental health, stress management, fitness, diet and weight control, prevention and control of communicable and non-communicable diseases, drugs and alcohol, first aid, cancer prevention and control, and the scope of, and access to community health services.
Total Units:
16
Summer Semester (Year 2)
Course #
Course Title
Units
Select one course from this list.
You can choose a course in any subject that has a 100-199 in its title. For example ENGL 100 or ASTR 121.
NOTE: Not all 100-level courses are UC-transferable. See the IGETC sheet for UC eligible courses.
You can choose a course in any subject that has a 100-199 in its title. For example ENGL 100 or ASTR 121.
NOTE: Not all 100-level courses are UC-transferable. See the IGETC sheet for UC eligible courses.
Total Units:
3.5-6
Fall Semester (Year 2)
Course #
Course Title
Units
Prerequisite : MATH 182
Topics include vectors, functions of several variables; differentiation and integration in several dimensions; change of variables; parameterized curves and vector fields, line and surface integrals; Green's, Stokes', and divergence theorems.
Select one course from the list below.
- American Sign Language 138
- Art 101, 103, 104, 105, 109, 170
- Communication Studies 108
- Dance 101, 110, 120, 130, 147
- Drama 103, 110, 111
- Early Childhood Studies 116, 123
- English 102, 106, 117, 118, 119, 130, 131, 132, 133, 135, 138,139, 140, 144, 145, 146, 148, 180
- Ethnic Studies 105, 120, 122
- Fashion 104, 105
- Film 101, 102, 103, 104, 108, 109, 110, 122
- French 101, 102
- Graphics 127
- History 101, 102, 103, 104, 105, 120, 138
- Humanities 101, 102, 103, 104, 105
- Library 180
- Multimedia Arts and Communication 101, 102
- Music 100, 101, 102, 104, 106
- Philosophy 101, 102, 105, 121, 122
- Photo 110
- Spanish 101, 102, 103, 104, 105, 112
You can choose a course in any subject that has a 100-199 in its title. For example ENGL 100 or ASTR 121.
NOTE: Not all 100-level courses are UC-transferable. See the IGETC sheet for UC eligible courses.
Courses that meet this requirement:
- Anthropology 107
- English 150, 151, 152, 153
- Ethnic Studies 101, 105, 107, 120, 121, 122, 150, 151, 152, 153
- Fashion 105
- Film 122
- History 120, 121
ALL courses in this category also fulfill the AHC Graduation Requirement: Multicultural and Gender Studies
Total Units:
13
Spring Semester (Year 2)
Course #
Course Title
Units
Prerequisite : MATH 182
First order ordinary differential equations, including separable, linear, homogeneous of degree zero, Bernoulli and exact with applications and numerical methods. Solutions to higher order differential equations using undetermined coefficients, variation of parameters, and power series, with applications. Solutions to linear and non-linear systems of differential equations, including numerical solutions. Matrix algebra, solutions of linear systems of equations, and determinants. Vector spaces, linear independence, basis and dimension, subspace and inner product space, including the Gram-Schmidt procedure. Linear transformations, kernel and range, eigenvalues, eigenvectors, diagonalization and symmetric matrices.
Courses that meet this requirement:
- Anthropology 101, 110 (when taken in conjunction with 101)
- Astronomy 100
- Biology 100, 120, 124, 132
- Chemistry 110, 120
- Environmental Technology 101
- Food Science and Nutrition 110
- Geography 101, 115
- Geology 100, 111, 114, 115, 131, 141
- Physical Science 111, 112
- Physics 100
- Viticulture and Enology 102
If you take any of the following courses, you will also satisfy the Multicultural/Gender Studies requirement:
Courses that meet this requirement:
- Administration of Justice 101, 103, 115
- Anthropology 102, 103, 105, 107
- Business 121, 141
- Communications Studies 100, 110
- Early Childhood Studies 100, 101
- Economics 101, 102, 121, 141
- English 105, 150, 151,152, 153
- Ethnic Studies 101, 107, 150, 151,152, 153
- Geography 102, 103, 105
- Global Studies 141
- Graphics 127
- LGBT 101, 102
- Physical Education 128
- Political Science 101, 104, 105, 110
- Psychology 101, 112, 113, 117, 118, 119, 121
- Sociology 101, 102, 104, 120, 122, 155, 160
You can choose a course in any subject that has a 100-199 in its title. For example ENGL 100 or ASTR 121.
NOTE: Not all 100-level courses are UC-transferable. See the IGETC sheet for UC eligible courses.
Total Units:
14-15
Program Requirements:
"Program Requirements" specify the courses required for this program. See suggested course sequence for additional information.
Programs you may also be interested in exploring:
Resources
Math Center
The Math Center is a noncredit, Community Education class which provides assistance in mathematics as a completely free service. Current Allan Hancock College students as well as other individuals who are 18 years or older may register for the Math Center each semester and attend as frequently as they want.
Visit the Math Center Website to see tutoring and instruction schedules, mathematics resources, and helpful handouts.
Building M, Room 101
Santa Maria Campus
805-922-6966 ext. 3463
Contact Information
Department Chair
Dom Dal Bello
805-922-6966 ext. 3498
ddalbello@hancockcollege.edu
Administrative Assistant
Lori Coulter
805-922-6966 ext. 3201
lcoulter@hancockcollege.edu
Dean, Academic Affairs
Sean Abel
805-922-6966 ext. 3537
sean.abel@hancockcollege.edu
LOCATION
Santa Maria Campus
Bldg. M, Rm. 309
805-922-6966 ext. 3201