College Mathematics for the Managerial, Life, and Social Sciences – Soo T. Tan – 7th Edition

Chapter 1: Straight Lines and Linear Functions

1.1: The Cartesian Coordinate System (21)

1.2: Straight Lines (21)

1.3: Linear Functions and Mathematical Models (25)

1.4: Intersection of Straight Lines (21)

1.5: The Method of Least Squares (20)

1: Chapter Review (17)

Chapter 2: Systems of Linear Equations and Matrices

2.1: Systems of Linear Equations: An Introduction (19)

2.2: Systems of Linear Equations: Unique Solutions (20)

2.3: Systems of linear Equations: Underdetermined and Overdetermined Systems (19)

2.4: Matrices (20)

2.5: Multiplication of Matrices (20)

2.6: The Inverse of a Square Matrix (20)

2.7: Leontief Input-Output Model (19)

2: Chapter Review (16)

Chapter 3: Linear Programming: A Geometric Approach

3.1: Graphing Systems of Linear Inequalities in Two Variables (20)

3.2: Linear Programming Problems (20)

3.3: Graphical Solution of Linear Programming Problems (19)

3.4: Sensitivity Analysis (20)

3: Chapter Review (16)

Chapter 4: Linear Programming: An Algebraic Approach

4.1: The Simplex Method: Standard Maximization Problems (17)

4.2: The Simplex Method: Standard Minimization Problems (12)

4.3: The Simplex Method: Nonstandard Problems (12)

4: Chapter Review

Chapter 5: Mathematics of Finance

5.1: Compound Interest (22)

5.2: Annuities (20)

5.3: Amortization and Sinking Funds (20)

5.4: Arithmetic and Geometric Progressions (19)

5: Chapter Review (20)

Chapter 6: Sets and Counting

6.1: Sets and Set Operations (19)

6.2: The Number of Elements in a Finite Set (20)

6.3: The Multiplication Principle (20)

6.4: Permutations and Combinations (20)

6: Chapter Review (20)

Chapter 7: Probability

7.1: Experiments, Sample Spaces, and Events (19)

7.2: Definition of Probability (20)

7.3: Rules of Probability (20)

7.4: Use of Counting Techniques in Probability (20)

7.5: Conditional Probability and Independent Events (19)

7.6: Bayes' Theorem (21)

7: Chapter Review (20)

Chapter 8: Probability Distributions and Statistics

8.1: Distributions of Random Variables (20)

8.2: Expected Value (20)

8.3: Variance and Standard Deviation (20)

8.4: The Binomial Distribution (20)

8.5: The Normal Distribution (20)

8.6: Applications of the Normal Distribution (19)

8: Chapter Review (20)

Chapter 9: Markov Chains

9.1: Markov Chains (13)

9.2: Regular Markov Chains (14)

9.3: Absorbing Markov Chains (12)

9: Chapter Review

Chapter 10: Precalculus Review

10.1: Exponents and Radicals (27)

10.2: Algebraic Expressions (26)

10.3: Algebraic Fractions (23)

10.4: Inequalities and Absolute Value (27)

10: Chapter Review

Chapter 11: Functions, Limits, and the Derivative

11.1: Functions and Their Graphs (31)

11.2: The Algebra of Functions (30)

11.3: Functions and Mathematical Models (23)

11.4: Limits (30)

11.5: One-Sided Limits and Continuity (30)

11.6: The Derivative (30)

11: Chapter Review (21)

Chapter 12: Differentiation

12.1: Basic Rules of Differentiation (30)

12.2: The Product and Quotient Rules (30)

12.3: The Chain Rule (30)

12.4: Marginal Functions in Economics (30)

12.5: Higher-Order Derivatives (30)

12.6: Implicit Differentiation and Related Rates (30)

12.7: Differentials (30)

12: Chapter Review (21)

Chapter 13: Applications of the Derivative

13.1: Applications of the First Derivative (31)

13.2: Applications of the Second Derivative (30)

13.3: Curve Sketching (29)

13.4: Optimization I (30)

13.5: Optimization II (30)

13: Chapter Review (21)

Chapter 14: Exponential and Logarithmic Functions

14.1: Exponential Functions (30)

14.2: Logarithmic Functions (30)

14.3: Differentiation of Exponential Functions (30)

14.4: Differentiation of Logarithmic Functions (31)

14.5: Exponential Functions as Mathematical Functions (30)

14: Chapter Review (10)

Chapter 15: Integration

15.1: Antiderivatives and the Rules of Integration (29)

15.2: Integration by Substitution (29)

15.3: Area and the Definite Integral (18)

15.4: The Fundamental Theorem of Calculus (30)

15.5: Evaluating Definite Integrals (30)

15.6: Area between Two Curves (29)

15.7: Applications of the Definite Integral to Business and Economics (15)

15: Chapter Review (20)

Chapter 16: Additional Topics in Integration

16.1: Integration by Parts (29)

16.2: Integration Using Tables of Integrals (31)

16.3: Numerical Integration (30)

16.4: Improper Integrals (30)

16.5: Applications of Calculus to Probability (30)

16: Chapter Review (21)

Chapter 17: Calculus of Several Variables

17.1: Functions of Several Variables (28)

17.2: Partial Derivatives (30)

17.3: Maxima and Minima of Functions of Several Variables (27)

17.4: Constrained Maxima and Minima and the Method of Lagrange Multipliers (27)

17.5: Double Integrals (56)

17: Chapter Review (20)