MATH1150 — Calculus I
Academic Division: Liberal Arts Academic Discipline: Mathematics Assistant Dean: Steve Haynes PhD 5 Credit(s) A study of analytic geometry, limits, continuity, the derivative, basic differentiation rules, rates of change, the product and quotient rules, higher-order derivatives, the chain rule, implicit differentiation, related rates, extrema on an interval, Rolle’s Theorem and the Mean Value Theorem. Function analysis includes increasing and decreasing functions and the first derivative test, concavity and the second derivative test, limits at infinity and curve sketching. Concluding topics include anti-derivatives, indefinite and definite integrals, the Fundamental Theorem of Calculus, and integration by substitution. Applications include optimization problems, Newton’s method, differentials, and areas of planar regions. This course meets the requirements for OTM Calculus I TMM005. If combined with MATH 1151 , it meets the requirements for OTM Calculus I & II sequence TMM017. UG 5 Lecture Hour(s); Required Determine the existence of, estimate numerically and graphically and find algebraically, the limits of functions. Homework, Tests, Final Exam Weeks 1,2, 4, and 16 2. Determine the continuity of functions at a point or on intervals. Homework, Tests, Final Exam Weeks 2,4 and 16 3. Determine and interpret the derivative of a function using the limit definition and derivative theorems Homework, Tests, Final Exam Weeks 3,4,5,8 and 16 4. Use the derivative to solve related rate
Prerequisites: MATH1130