Document Type
Syllabus
Publication Date
Fall 9-1-2024
Course Description
Introduction to differential and integral calculus of one variable, with applications. Topics will include functions, limits, differentiation and integration of algebraic and transcendental functions. Course Objectives A primary objective of a calculus course is to provide a bridge for the student from high-school or lower-divison mathematics courses to upper-division mathematics. The student will be challenged to grow in mathematical maturity and to develop and strengthen problem-solving skills. Beyond the content of individual courses, the major in mathematics is designed to prepare students for the 21st century by helping students to become problem solvers, effective communicators, users of appropriate technology, and team players. In this course, students will be engaged in various activities that will help them move toward achieving these goals.
Recommended Citation
Hiatt, Scott, "MATH 151A/B Calculus 1 Hiatt Fall 2024" (2024). All Course Syllabi. 956, Scholarly and Creative Work from DePauw University.
https://scholarship.depauw.edu/records_syllabi/956
Student Outcomes
After this course, students 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.