Syllabus: M403K
Barnett & Ziegler, "Applied Calculus with Linear Programming
Custom Edition
Instructors must complete all
parts of this syllabus because it is needed in M403L.
The suggested allocation of time should leave ample time for in-class
quizzes, etc.
Chapter 1: The Derivative (8 days)
1.1 Limits and Continuity - a Geometric Introduction
1.2 Computation of Limits
1.3 The Derivative
1.4 Derivatives of Constants, Power Forms, and Sums
1.5 Derivatives of Products and Quotients
1.6 Chain Rule: Power Form
1.7 Marginal Analysis in Business and Economics
Chapter 2: Graphing and Optimization (7 days)
2.1 First Derivative and Graphs
2.2 Second Derivative and Graphs
2.3 Curve Sketching Techniques: Unified and Extended
2.4 Optimization: Absolute Maxima and Minima
2.5 Increments and Differentials
Chapter 3: Additional Derivative Topics (8 days)
3.1 The Constant e and Continuous Compound Interest
3.2 Derivatives of Logarithmic and Exponential Functions
3.3 Chain Rule: General Form
3.4 Implicit Differentiation
3.5 Related Rates
3.5 L'Hopital's Rule
3.6 Elasticity of Demand
Chapter 4: Integration (8 days)
4.1 Antiderivatives and Indefinite Integrals
4.2 Integration by Substitution
4.3 Differential Equations - Growth and Decay
4.4 Area under a Curve
4.5 The Definite Integral
4.6 The Fundamental Theorem of Calculus
Chapter 5: Additional Integration Topics (4 days)
5.1 Areas between Curves
5.2 Applications in Business and Economics
5.3 Volumes of Solids of Revolution