290 Chabot College 2024-2026 CREDIT COURSE LISTING, MTH Career Opportunities Mathematics opens the doors to many promising careers. The analytical and problem-solving skills students learn in mathematics can apply to many other disciplines. In particular, math majors score among the highest on the LSAT and GMAT for entry into law school or for advanced study in business. The associate’s degree in mathematics is a stepping stone to further degrees in mathematics and relate fields, leading to careers in academia, actuarial science, education, business, computer science, engineering, law, medicine, physical and life sciences, public service, research, and other quantitative areas. Profiles of successful math majors can be found on the Mathematical Association of America’s Career Profiles webpage https://www.maa.org/careers/career-profiles. Program Learning Outcomes 1. Increase confidence in understanding mathematical concepts, communicating ideas and thinking analytically. 2. Communicate mathematical ideas, understand definitions, and interpret concepts. 3. Critically analyze mathematical problems using a logical methodology. Required Core (15 units) MTH 1 Calculus I 5 MTH 2 Calculus II 5 MTH 3 Multivariable Calculus 5 List A: Choose 1 Course (3-5 units) CSCI 14 Introduction to Structured Programming In C++ 4 ENGR 25 Computational Methods for Engineers and Scientists 3 MTH 25 Computational Methods for Engineers and Scientists 3 PHYS 4A General Physics I 5 PHYS 25 Computational Methods for Engineers and Scientists 3 List B: Choose 2 Courses (6 units) MTH 4 Elementary Differential Equations 3 MTH 6 Elementary Linear Algebra 3 MTH 8 Discrete Mathematics 3 Major Requirements 24-26 Units General Education Requirements 22 Units Electives (Degree applicable Units as needed) 12-14 Units Total 60 Units MATHEMATICS (MTH) COURSES 1 Calculus I 5 Units This course is the first in the three-course calculus sequence intended for majors in math, engineering, and physical sciences. The course covers elements of analytic geometry, derivatives, limits and continuity, differentiation of algebraic and trigonometric functions, and the definite integral. Application to the sciences are also covered. Lecture: 90 hours Prerequisite: MTH 20 or MTH 22 or both College Algebra ( MTH 21 or MTH 31 or MTH 31S ) and Trigonometry ( MTH 36 or MTH 36S or MTH 37 ) or an appropriate skill level demonstrated through the mathematics assessment process. 2 Calculus II 5 Units Continuation of differential and integral calculus, including transcendental, and inverse functions. Techniques of integration, numerical integration, parametric equations, polar coordinates, sequences, power series and Taylor series. Primarily for mathematics, physical science, and engineering majors. Lecture: 90 hours Prerequisite: MTH 1 3 Multivariable Calculus 5 Units Vector valued functions, functions of several variables, partial differentiation, multiple integration, change of variables theorem, scalar and vector fields, gradient, divergence, curl, line integral, surface integral, Theorems of Green, Stokes and Gauss, applications. Lecture: 90 hours Prerequisite: MTH 2 4 Elementary Differential Equations 3 Units Introduction to elementary differential equations, including first and second order equations, series solutions, Laplace transforms, and applications. Lecture: 54 hours Laboratory: 18 hours Prerequisite: MTH 2 6 Elementary Linear Algebra 3 Units Introduction to linear algebra: matrices, determinants, systems of equations, vector spaces, linear transformations, eigenvalue, eigenvectors, and applications. Lecture: 54 hours Laboratory: 18 hours Prerequisite: MTH 2 8 Discrete Mathematics 3 Units Sets, relations and functions; logic, methods of proof, induction; combinatorics, discrete probability, recursion, and recurrence relations; graphs and trees; logic circuits; finite state machines. Designed for majors in mathematics and computer science. Lecture: 54 hours Laboratory: 18 hours Prerequisite: MTH 1 Strongly Recommended: CSCI 14
