MAT-1910: Calculus I

The course aims to apply and extend what students have learned in previous mathematics courses through the study of limits, derivatives, and integrals, along with basic differentiating and integrating techniques. The course starts with five major problems that introduce the big ideas of calculus: limits, exponential functions, the relationship between distance and velocity, piecewise functions, and the Fundamental Theorem of Calculus. Derivative techniques and applications will include related rates, implicit differentiation, optimization, and the Mean Value Theorem. Integration techniques and applications will include areas between curves, u-substitution, and volumes. Each of these five major problems is revisited again later in Math 1920 for students to solve using new calculus knowledge. Students in Calculus will continue to use problem solving strategies, questioning, investigating, and explaining in conjunction with their knowledge of the connections among algebra, geometry and functions to analyze problems and formulate solutions. Throughout, they will also use these strategies to extend their current knowledge by making new connections. The course is a college level course and requires a significant amount of preparation for every class on the part of the student.
Min. Credits: 4.0
Credit Basis: Semester credit
Location(s): Antioch Univ Los Angeles
Method(s): Classroom
Faculty Consent Required: N
Program Approval Required: N
Course Type Liberal Arts, Science & Social Science

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MAT-1910: Calculus I