"Math 151C Calculus II Balasubramanian Fall 2024" by Suman Balasubramanian
 

Document Type

Syllabus

Publication Date

Fall 9-1-2024

Course Description

This course will deal with calculus of one variable with topics from limits, differentiation,integration, applications of derivatives and integrals being covered here. Course Objectives: A primary objective of a calculus course is to provide a bridge for the student from highschool or lower-division mathematics courses to upper-division mathematics. The student will be challenged to grow in mathematical maturity and to develop and strengthen problem solving

Student Outcomes

At the end of the course the student will be able to: Evaluate limits as a rate of change and as a tangent line to a plane and evaluate them graphically and algebraically. Learn about basic limit laws, trigonometric limits, limits at infinity, the relationship between limits and continuity etc. Learn about the derivative of a function and evaluate the derivatives using chain product and quotient rules. Learn about derivatives as rates of change and apply differentiation to related rates problems as well as learn about derivatives of various types of functions including trigonometric functions and exponential \ functions. Apply differentiation to problems involving optimization, extreme values, maxima, minima, mean value theorem and monotonicity and graph sketching. Define Integrals as an approximation of area and as definite and indefinite integrals and learn about the Fundamental Theorem of Calculus parts one and two and their meaning.

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