MATH 1680 CALCULUS WITH BUSINESS APPLICATIONS I

TEXT: Applied Calculus, Tan (with supplement)

Section Number of days

1.1 Precalculus Review I 2

1.2 Precalculus Review II 2

1.3 The Cartesian Coordinate System 1

1.4 Straight Lines 2

2.3 Functions and Mathematical Models 2

2.4 Limits 2

2.5 One-Sided Limits and Continuity 2

2.6 The Derivative 2

3.1 Basic Rules of Differentiation 2

3.2 The Product and Quotient Rule 2

3.3 The Chain Rule 2

3.4 Marginal Functions in Economics 1

3.5 Higher-Order Derivatives 2

3.6 Implicit Differentiation and Related Rates 2

4.1 Applications of the First Derivative 2

4.2 Applications of the Second Derivative 2

4.3 Curve Sketching 2

4.4 Optimization I 2

4.5 Optimization II 2

5.1 Exponential Functions 2

5.2 Logarithmic Functions 2

5.3 Compound Interest 2

5.4 Differentiation of Exponential Functions 2

5.5 Differentiation of Logarithmic Functions 2

6.1 Antiderivatives and the Rules of Integration 2

6.2 Integration by Substitution 2

6.3 Area and the Definite Integral 2

6.4 The Fundamental Theorem of Calculus 2

6.5 Evaluating Definite Integrals 2

6.6 Area Between Two Curves 2

Total Content Days 58