MA148: Calculus with Applications

MA148 - Calculus with Applications. This course will enable the student to differentiate and integrate algebraic, logarithmic and exponential functions and apply those concepts to real-world business and social-science applications, including marginal analysis. This content is a remix of the Applied Calculus text by Calaway, Hoffman, and Lippman. The primary change to the LibreText edition has been to separate the "chapter" exercise sets into smaller exercise sets for each individual section.

Mathematics

Tác giả: Benjamin Bunck
Nhà xuất bản: Butler Community College
Nguồn: LibreTexts
Ngôn ngữ: EN
Danh mục: Khoa học cơ bản

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Mục lục· 66 mục

01: Review
1.01: Functions
1.1.E: Exercises
1.02: Operations on Functions
1.2.E: Exercises
1.03: Linear Functions
1.3.E: Exercises
1.04: Exponents
1.4.E: Exercises
1.05: Quadratics
1.5.E: Exercises
1.06: Polynomials and Rational Functions
1.6.E: Exercises
1.07: Exponential Functions
1.7.E: Exercises
1.08: Logarithmic Functions
1.8.E: Exercises
02: The Derivative
2.01: Prelude to the Derivative
2.02: Limits and Continuity
2.2.E: Exercises
2.03: The Derivative
2.3.E: Exercises
2.04: Power and Sum Rules for Derivatives
2.4.E: Exercises
2.05: Product and Quotient Rules
2.5.E: Exercises
2.06: Chain Rule
2.6.E: Exercises
2.07: Second Derivative and Concavity
2.7.E: Exercises
2.08: Optimization
2.8.E: Exercises
2.09: Curve Sketching
2.9.E: Exercises
2.10: Applied Optimization
2.10.E: Exercises
2.11: Other Applications
2.11.E: Exercises
2.12: Implicit Differentiation and Related Rates
2.12.E: Exercises
03: The Integral
3.01: Prelude to the Integral
3.02: The Definite Integral
3.2.E: Exercises
3.03: The Fundamental Theorem and Antidifferentiation
3.3.E: Exercises
3.04: Antiderivatives of Formulas
3.4.E: Exercises
3.05: Substitution
3.5.E: Exercises
3.06: Additional Integration Techniques
3.6.E: Exercises
3.07: Area Volume and Average Value
3.7.E: Exercises
3.08: Applications to Business
3.8.E: Exercises
3.09: Differential Equations
3.9.E: Exercises
04: Functions of Two Variables
4.01: Functions of Two Variables
4.1.E: Exercises
4.02: Calculus of Functions of Two Variables
4.2.E: Exercises
4.03: Optimization
4.3.E: Exercises