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Applied Calculus -- Spring 2015

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SAVE A COPY!

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


1 Lectures

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

2 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

3 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

4 Exams

Upcoming:

Related old exams: