MATH140: Introductory Calculus

Course Description

Objectives

1. To provide students with a working knowledge of the fundamental concepts and techniques of differential and integral calculus of algebraic functions of one variable.
2. To provide students experience with applications of these techniques and use of technology in solving real world problems.
3. To enhance student's problem solving skills;
4. To emphasize algebraic, numerical, geometric, and verbal approaches to calculus concepts.

Text

Grading Procedure

Attendance Policy

Course Outline

• Chapter 1: Functions and Change

  Sections 1 - 10 - What is a function, Linear functions, Rates of change, Applications of functions to economics, Exponential functions, The natural logarithm, Exponential growth and decay, New functions from old, Proportionality power functions and polynomials, periodic functions.
  
  

• Chapter 2: Rate of Change: The Derivative

  Sections 1 - 5 - Instantaneous rare of change, The derivative function, Interpretations of the derivative, Marginal cost and revenue.
  
  

• Chapter 3: Short-Cuts to Differentiation

  Sections 1 - 5 - Derivative formulas for powers and polynomials, Exponential and logarithmic functions, The chain rule, The product and quotient rules, Derivatives of periodic functions.
  
  

• Chapter 4: Using the Derivative

  Sections 1 - 8 (skip section 6) - Local maxima and minima, Inflection points, Global maxima and minima, Profit cost and revenue, Average cost, Logistic growth, The surge function and drug concentration.
  
  

• Chapter 5: Accumulated Change: The Definite Integral

  Sections 1 - 5 - Distance and accumulated change, The definite integral as area, Interpretations of the definite integral, The fundamental thermo of calculus.
  
  

• Chapter 6: Using the Definite Integral

  Sections 1 - 4 - Average value, Consumer and producer surplus, Present and future value, Integrating relative growth rates.
  
  

• Chapter 7: Antiderivatives

  Sections 1 - 4 - Constructing antiderivatives analytically, Integration by substitution, Using the fundamental theorem to find definite integrals, Analyzing antiderivatives graphically and numerically.