Calculus MATH 211 -- SPRING 2023

Survey in Calculus and Analytic Geometry

Dr Ahmed Kaffel
University of Wisconsin Milwaukee

Kaffel's picture


Ahmed Kaffel, PhD

Department of Mathematical Sciences

University of Wisconsin-Milwaukee

College of Letters and Science

3200 N Cramer Street

Milwaukee, WI 53211-3029

Office: EMS Building, Room E434

Tel: (414) 229-9891

E-mails: /

The Concept of Functions
Essential Functions
Introduction to Limits
Computing with Limits, Limit Laws
The Precise Definition of Limits
Limits at Infinity
Introduction to Derivatives
Derivatives as Functions
Derivatives of Basic Functions
Differentiation Rules
Derivatives of Trigonometric Functions
Implicit Differentiation
Logarithmic Differentiation
Related Rates
Exponential Growth and Decay
Linear Approximation and Differentials
Minima and Maxima
The Mean Value Theorem
Derivatives and the Shape of Graphs
L'Hospital's Rule
Curve Sketching
Introduction to Integrals
The Area Problem
The Definite Integral
The Fundamental Theorem of Calculus
The Indefinite Integral
The Area Between Curves
The Substitution Rule for Integration
The Average Value of Functions (the Mean Value Theorem for Integrals)