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Course Criteria
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3.00 Credits
(3.0 Units) (Prerequisite: Math 123. Three lecture hours weekly.) The study of systems of linear equations, matrix algebra, vector spaces, inner product spaces, linear transformations, eigenvalues and eigenvectors, and applications. Recommended for mathematics majors or students who plan to study mathematics in-depth in association with other majors. (CSU/UC) AA/AS Area E, CSU Area B-4, IGETC Area 2, CAN MATH 26
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3.00 Credits
(3.0 Units) (Prerequisite: Math 121 or 123. Also offered as Computer Science 117. Students may receive credit for Computer Science 117 or Math 117 but not for both courses. Three lecture hours weekly.) A survey of topics including set theory, combinatorics, graph theory, algorithms, logic, Boolean algebra, formal languages, and probability theory. Recommended for mathematics majors and students interested in engineering and applied fields. (CSU/UC) CSU Area B-4, IGETC Area 2
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3.00 Credits
(3.0 Units) (Prerequisite: Math 103 or 103XY or satisfactory score on Pre-Calculus Assessment Test. Three lecture hours weekly.) Topics will include limits, continuity, derivatives, integrals, exponential, and logarithmic functions. Standard applications of the derivative to drawing graphs of functions of one real variable and to optimization problems will be included. Business applications of profit maximization and consumer/producer surplus will be covered. (CSU/UC) AA/AS Area E, CSU Area B-4, IGETC Area 2, CAN MATH 30, CAN MATH SEQ D = Math 121 + 122
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2.00 Credits
This two-course sequence is designed to satisfy the calculus requirement for agriculture, architecture, business administration, botany, economics, forestry, physical geography, premedicine, optometry, pharmacy, and physiology majors. It is not designed for students majoring in chemistry, engineering, mathematics, or physics. Biology majors should check with transfer college for calculus requirement (Math 121-122 or Math 123-124).
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3.00 Credits
(3.0 Units) (Prerequisites: Math 104 or 104XY and Math 121 or satisfactory score on Trigonometry Placement Test. Three lecture hours weekly.) Topics will include multivariable calculus, partial derivatives, double integrals, methods of integration, the calculus of trigonometric functions, first order ordinary differential equations, calculus applied to probability and statistics, infinite series, and applications. (CSU/UC) AA/AS Area E, CSU Area B-4, IGETC Area 2, CAN MATH SEQ D = Math 121 + 122
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5.00 Credits
(5.0 Units) (Prerequisites: Math 104 or 104XY and Math 105 or satisfactory score on Pre-Calculus Placement Test and Trigonometry Placement Test. Five lecture hours weekly.) Introduction to differential and integral calculus of functions of one real variable. Continuous functions, limit of a function at a point, the derivative. The differentiation formulas and rules for one variable functions, implicit differentiation. The mean value theorem and its application to optimization and curve sketching, linear approximation and differential notation. Introduction to the Riemann integral and the fundamental theorem of calculus. Applications of the Riemann integral to finding areas, volumes of solids of revolutions, work, centroids, and total force on a plane submerged in a fluid. (CSU/UC) AA/AS Area E, CSU AREA B-4, IGETC Area 2, CAN MATH 18, CAN MATH SEQ B = Math 123 + 124, CAN MATH SEQ C = Math 123 + 124 + 223
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5.00 Credits
(5.0 Units) (Prerequisite: Math 123. Five lecture hours weekly.) A continuation of Math 123 to include the inverse function theorem for functions of one real variable, derivatives of inverse trigonometric, exponential, logarithmic, hyperbolic and inverse hyperbolic functions. Introduction to first order ordinary differential equations, techniques of integration, improper integrals, indeterminate forms, sequences, series, power series functions, and the calculus of parameterized plane curves. (CSU/UC) AA/AS Area E, CSU Area B-4, IGETC Area 2, CAN MATH 20, CAN MATH SEQ B = Math 123 + 124, CAN MATH SEQ C = Math 123 + 124 + 223
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3.00 Credits
(3.0 Units) (Prerequisite. Math 103 or Math 103XY. Three lecture hours weekly.) This is a course appropriate for students who may be considering teaching K-12 mathematics, and anyone who may wish to benefit from a deeper understanding of foundational topics in mathematics and explore methods of delivery. The course content will include topics in number sense (numeral systems, history, place value, number sets), arithmetic (focus on operation models, and order of operations with integers and rational numbers), geometry (focus on vocabulary, construction, Euclidean/ Non-Euclidean, concept of perimeter/area/volume as comparisons, unit conversions, properties of similar triangles), and foundations to algebra (focus on algebraic symbols, operations on integers, rational and complex numbers and how they relate to algebra, history, order of operations in algebra, solving equations and word problems, radicals, group axioms.)In addition to exploring content depth, students will have opportunities to explore content delivery in an English as a Second Language environment, participate in lesson study/scripting, apply course content in developing lesson plans, and participate in crossgrade level discussions. (CSU) AA/AS Area E
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2.00 Credits
(2.0 Units) (No prerequisite. One lecture hour and three laboratory hours weekly.) This course is designed to help student tutors develop their understanding of the principles of effective mathematics tutoring. Students will learn how to recognize different learning styles so that they may better help others analyze their study habits and problem solving skills. Students will learn how to communicate more effectively and to provide an encouraging tutoring environment. (CSU)
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