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