Nguồn ngoài
MTH 15: Applied Calculus I
This calculus course is intended for majors in business and in certain areas of life sciences. The course covers differential calculus of algebraic, exponential, and logarithmic functions, introduction to integral calculus, and applications in business, economics, and the life and social sciences.
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Mục lục· 47 mục
- 01: Prerequisite Review
- 1.01: Functions
- 1.02: Operations on Functions
- 1.03: Linear Functions
- 1.04: Exponents
- 1.05: Quadratic Functions
- 1.06: Polynomials and Rational Functions
- 1.07: Exponential Functions
- 1.08: Logarithmic Functions
- 1.E: Review (Exercises)
- 02: Limits
- 2.01: Limits
- 2.02: Techniques for Computing Limits
- 2.2E: Exercises for Section 2.3
- 2.03: Infinite Limits
- 2.3E: Exercises for Section 2.4
- 2.04: Continuity
- 03: The Derivative
- 3.01: Introducing the Derivative
- 3.02: Techniques of Differentiation
- 3.03: Product and Quotient Rules
- 3.04: Chain Rule
- 3.05: Rates of Change and Marginal Analysis
- 3.5E: Exercises for Section 3.5
- 3.06: Implicit Differentiation and Related Rates
- 04: Applications of Differentiation
- 4.01: Curve Sketching
- 4.02: Second Derivative and Concavity
- 4.03: Optimization
- 4.04: Applied Optimization
- 4.05: Implicit Differentiation and Related Rates
- 05: The Integral
- 5.01: Prelude to the Integral
- 5.02: The Definite Integral
- 5.03: The Fundamental Theorem and Antidifferentiation
- 5.04: Antiderivatives of Formulas
- 5.05: Substitution
- 5.06: Additional Integration Techniques
- 5.07: Area Volume and Average Value
- 5.08: Applications to Business
- 5.09: Differential Equations
- 5.E: The Integral (Exercises)
- 06: Functions of Two Variables
- 6.01: Functions of Two Variables
- 6.02: Calculus of Functions of Two Variables
- 6.03: Optimization
- 6.E: Functions of Two Variables (Exercises)