This site is devoted to mathematics and its applications. Created and run by Peter Saveliev.

# Applied Calculus -- Spring 2015

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MTH 140 - Applied Calculus A brief survey of calculus including both differentiation and integration with applications. Not to be substituted for Mathematics 229. PR: ACT Math 24 or MTH127 or MTH130. 3 hours

• Time and Place: 1:00 - 1:50 pm MWR at 335 Smith Hall.
• Instructor: Peter Saveliev (call me Peter)
• Office: 713 Smith Hall
• Office Hours: MW 2:30-4:45 (walk-in), or by appointment
• Office Phone: x4639
• E-mail: saveliev@marshall.edu
• Class Web-Page: math01.com
• Prerequisites: excellent algebra skills, the ability to recognize and use functions, including the major classes of functions, graph these functions, solve equations -- College Algebra -- Fall 2014
• Text: Applied Calculus for the Life and Social Sciences by Larson
• Computer Restrictions: no better than graphic calculator TI-83 or TI-83+
• Outcomes: the student will learn to differentiate and integrate, apply these concepts and tools to study processes and patterns in physical and other sciences, become familiar with multivariable calculus.
• Activities: the student will practice each outcome via the homework given in the textbook and online.
• Evaluation: the student achievement of each outcome will be assessed via
• Grade Breakdown: TOTAL = .05×A + .40×(Q + H) + .20×M + .35×F
• attendance and participation: 5%
• quizzes and online homework: 40%
• midterm: 20%
• final exam: 35%

For details, see Course policy.

Mathematics Tutor Lab: Smith Music 115

## Lectures

They will appear exactly as you see them in class and, as the course progresses, will be updated weekly.

## Homework

Follow this link to access the online homework: Webwork

Assignments:

• Orientation (not for credit)
• Review
• Chapter1
• Chapter1b
• Chapter2
• Chapter2b
• Chapter2-3
• Chapter3
• Chapter3-4
• Chapter4-5-6
• Chapter7
• Chapter7b
• Chapter7c -- due Friday

## Schedule

• Chapter 0. A Precalculus Review
• 0.1 The Real Number Line and Order
• 0.2 Absolute Value and Distance on the Real Number Line
• 0.3 Exponents and Radicals
• 0.4 Factoring Polynomials
• 0.5 Fractions and Rationalization

Week 1 -- 1/12

• Chapter 1. Functions, Graphs, and Limits
• 1.1 The Cartesian Plane and the Distance Formula
• 1.2 Graphs of Equations
• 1.3 Lines in the Plane and Slope

Week 2 -- 1/19

• 1.4 Functions
• 1.5 Limits

Week 3 -- 1/26

• 1.6 Continuity
• Chapter 2. Differentiation
• 2.1 The Derivative and the Slope of a Graph

Week 4 -- 2/2

• 2.2 Some Rules for Differentiation
• 2.3 Rates of Change

Week 5 -- 2/9

• 2.4 The Product and Quotient Rules
• 2.5 The Chain Rule

Week 6 -- 2/16

• 2.6 Higher-Order Derivatives
• Chapter 3. Applications of the Derivative
• 3.1 Increasing and Decreasing Functions

Week 7 -- 2/23

• 3.2 Extrema and the First-Derivative Test
• 3.3 Concavity and the Second-Derivative
• 3.4 Optimization Problems
• 3.6 Curve Sketching: A Summary

Week 8 -- 3/2

• Chapter 4. Exponential and Logarithmic Functions
• 4.1 Exponential Functions
• 4.2 Natural Exponential Functions
• 4.3 Derivatives of Exponential Functions
• 4.4 Logarithmic Functions
• 4.5 Derivatives of Logarithmic Functions
• 4.6 Exponential Growth and Decay

Week 9 -- 3/9

• Chapter 5. Trigonometric Functions
• 5.1 Radian Measure of Angles
• 5.2 The Trigonometric Functions
• 5.3 Graphs of Trigonometric Functions
• 5.4 Derivatives of Trigonometric Functions

Spring Break -- 3/16

Week 10 -- 3/23

• Chapter 6. Integration and Its Applications
• 6.1 Antiderivatives and Indefinite Integrals
• 6.3 Exponential and Logarithmic Integrals
• 6.4 Area and the Fundamental Theorem of Calculus

Week 11 -- 3/30

• Chapter 7. Techniques of Integration
• 7.3 Integrals of Trigonometric Functions
• 7.4 The Definite Integral as the Limit of a Sum
• 7.5 Numerical Integration
• 7.6 Improper Integrals

Week 12 -- 4/6

• Chapter 9. Functions of Several Variables
• 9.1 The Three-Dimensional Coordinate System
• 9.2 Surfaces in Space

Week 13 -- 4/13

• 9.3 Functions of Several Variables

Week 14 -- 4/20

• 9.4 Partial Derivatives

Week 15 -- 4/27

• 9.5 Extrema of Functions of Two Variables
• 9.7 Double Integrals and Area in the Plane
• Chapter 0. A Precalculus Review
• 0.1 The Real Number Line and Order
• 0.2 Absolute Value and Distance on the Real Number Line
• 0.3 Exponents and Radicals
• 0.4 Factoring Polynomials
• 0.5 Fractions and Rationalization
• Chapter 1. Functions, Graphs, and Limits
• 1.1 The Cartesian Plane and the Distance Formula
• 1.2 Graphs of Equations
• 1.3 Lines in the Plane and Slope
• 1.4 Functions
• 1.5 Limits
• 1.6 Continuity
• Chapter 2. Differentiation
• 2.1 The Derivative and the Slope of a Graph
• 2.2 Some Rules for Differentiation
• 2.3 Rates of Change
• 2.4 The Product and Quotient Rules
• 2.5 The Chain Rule
• 2.6 Higher-Order Derivatives
• Chapter 3. Applications of the Derivative
• 3.1 Increasing and Decreasing Functions
• 3.2 Extrema and the First-Derivative Test
• 3.3 Concavity and the Second-Derivative
• 3.4 Optimization Problems
• 3.5 Asymptotes
• 3.6 Curve Sketching: A Summary
• 3.7 Differentials: Linear Approximation
• Chapter 4. Exponential and Logarithmic Functions
• 4.1 Exponential Functions
• 4.2 Natural Exponential Functions
• 4.3 Derivatives of Exponential Functions
• 4.4 Logarithmic Functions
• 4.5 Derivatives of Logarithmic Functions
• 4.6 Exponential Growth and Decay
• Chapter 5. Trigonometric Functions
• 5.1 Radian Measure of Angles
• 5.2 The Trigonometric Functions
• 5.3 Graphs of Trigonometric Functions
• 5.4 Derivatives of Trigonometric Functions
• Chapter 6. Integration and Its Applications
• 6.1 Antiderivatives and Indefinite Integrals
• 6.2 Integration by Substitution and The General Power Rule
• 6.3 Exponential and Logarithmic Integrals
• 6.4 Area and the Fundamental Theorem of Calculus
• 6.5 The Area of a Region Bounded by Two Graphs
• 6.6 Volumes of Solids of Revolution
• Chapter 7. Techniques of Integration
• 7.1 Integration by Parts
• 7.2 Partial Fractions and Logistic Growth
• 7.3 Integrals of Trigonometric Functions
• 7.4 The Definite Integral as the Limit of a Sum
• 7.5 Numerical Integration
• 7.6 Improper Integrals
• Chapter 8. Matrices
• 8.1 Systems of Linear Equations in Two Variables
• 8.2 Systems of Linear Equations in More Than Two Variables
• 8.3 Matrices and Systems of Linear Equations
• 8.4 Operations with Matrices
• 8.5 The Inverse of a Matrix
• Chapter 9. Functions of Several Variables
• 9.1 The Three-Dimensional Coordinate System
• 9.2 Surfaces in Space
• 9.3 Functions of Several Variables
• 9.4 Partial Derivatives
• 9.5 Extrema of Functions of Two Variables
• 9.6 Least Squares Regression Analysis
• 9.7 Double Integrals and Area in the Plane
• 9.8 Applications of Double Integrals
• Chapter 10. Differential Equations
• 10.1 Solutions of Differential Equations
• 10.2 Separation of Variables
• 10.3 First-Order Linear Differential Equations
• 10.4 Applications of Differential Equations
• Chapter 11. Probability and Calculus
• 11.1 Discrete Probability
• 11.2 Continuous Random Variables
• 11.3 Expected Value and Variance

## Exams

Upcoming:

Related old exams: