MATH 160 – Introduction to Applied Calculus

Instructor – Dr. Robert A. Johnson

 

                                              CLASS POLICY

OFFICE: Henson Science Hall, Room 128       Phone: (410) 543-6469

OFFICE HOURS: 10 – 11 MWF, 9:30 – 11:30 TR

TEXTBOOK: “Calculus Applications and Technology for Business, Social, and Life

                        Sciences”, by Edmond Tomastik; Thomson Brooks/Cole, Third Edition,

                        2005

COURSE DESCRIPTION: This is a course designed to develop students’ problem-  solving skills using the techniques of calculus through numeric, analytic, graphical, and symbolic approaches. It assumes a mathematical background of high school algebra and geometry. This course is for students other than mathematics, physics, and chemistry majors who are interested in applications of math to their majors.

COURSE EVALUATION: The final grade in this course will be based on 400 points, which is the total number of points that can be accumulated (excluding extra credit). The following shows how points can be earned.

A.     Homework and Quizzes (25% - 100 points) – Problems will be assigned on a regular basis and selected one will be graded. There will be weekly quizzes

B.     Exams (50% -200 points) – An exam will be given upon the completion of each chapter.

C.     Final Exam (25% - 100) – A comprehensive final exam will be given.

D.     Extra Credit – Challenging problems will be available throughout the semester for bonus points.

                                    Final Grade Intervals

                                     

                                        400 - 360 – A

                                        359 – 320 – B

                                        319 – 280 – C

                                        279 – 240 – D

 

ATTENDANCE POLICY - Attendance is required. More than three unexcused absences may lower final grade.

 

 

 

 

 

 

 

 

 

            WEEKLY SCHEDULE OF DISCUSSION TOPICS AND HOMEWORK

                       MATH 160 - Introduction to Applied Calculus

 

Week 1

 

   Chapter 1 – Functions

1.1    Functions – Definitions, Graphs of Functions, Increasing, Decreasing, Concavity and Continuity, Applications and Mathematical Modeling

Exercises – 4, 6, 9, 10, 17, 22,32, 44, 52, 72, 74

1.2    Mathematical Models – Mathematical Modeling, Mathematical Model of Cost, Revenue, and Profits, Supply and Demand, Quadratic Mathematical Models

Exercises – 6, 8, 12, 18, 20, 28, 36, 37

Week 2

1.3    Exponential Model – Compound Interest, Effective Yield, Present Value, The Base e, Population Growth, Exponential Decay

Exercises – 4, 6, 12, 16,26, 34, 40, 45, 46, 56, 64

1.4    Combination of Functions – The Algebra of Functions, The Composition of Functions

Exercises – 2, 4, 6, 12, 16, 18, 24, 34, 36, 38

1.5    Logarithms – Basic Properties, Solving Equations

Exercises – 4, 6, 12, 18, 22, 30, 34, 54, 58

             Chapter 1 Exam

Week 3

   Chapter 2 – Modeling with Least Squares

        2.1  Method of Least Squares – Method, Correlation

               Exercises – 10, 12, 16, 20

       2.2  Quadratic Regression

              Exercises – 2, 6, 10

2.3    Cubic, Quartic, and Power Regression

Exercises – 2, 4, 10

2.4    Exponential and Logarithmic Regression

Exercises – 2, 4, 6

Week 4

       2.5 Logistic Regression

             Exercises – 4, 6

      Chapter 2 Exam

      Chapter 3 – Limits and the Derivative

            3.1  Limits

                   Exercises – 8, 12, 16, 26, 30, 40, 48

3.2  Rates of Change – Average Rate of Change, Instantaneous Change, Slope

Exercises – 2, 4, 6, 16, 24, 30, 42, 44, 54

3.3    The Derivative

Exercises – 6, 10, 18, 36, 42, 44, 52

Week 5

3.4    Local Linearity

Exercises – 14, 18, 20, 28

      Chapter 3 Exam

 

      Chapter 4 – Rules for the Derivative – Powers, Exponents, and Sums, Products and       Quotients, Chain Rule, Exponents and Logarithmic Functions, Elasticity of Demand

4.1    Derivatives of Powers, Exponents, and Sums

Exercises – 12, 16, 18, 24, 32, 34, 39, 50, 54 66,68,70, 72, 76, 78, 80

Week 6

4.2    Derivatives of Products and Quotients

Exercises – 6, 8, 10, 12, 20, 24, 28, 34, 38, 40

4.3    The Chain Rule

Exercises – 4, 10, 14, 20, 26, 34, 37, 38, 40

4.4    Derivatives of Exponential and Logarithmic Functions

Exercises – 6, 8, 12, 22, 34, 38, 44, 48, 52, 54, 62, 63, 64, 66

Week7

4.5    Elasticity of Demand

Exercises – 4, 6, 10, 14, 18, 24, 25, 27

      Chapter 4 Exam

      Chapter 5 – Curve Sketching and Optimization

5.1    The First Derivative

Exercises – 3, 8, 10, 18, 24, 49, 50,51, 54, 58

5.2    The Second Derivative

Exercises – 2, 4, 8, 14, 18, 22, 25, 27, 29

Week 8

5.3    Limits at Infinity

Exercises – 4, 7, 10, 16, 18,20,24, 26

          5.4. Additional Curve Sketching

                 Exercises – 23, 30, 37, 41

5.5   Absolute Extrema

 Exercises – 8, 12, 16, 32, 36, 43,44

5.6   Optimization and Modeling

 Exercises – 5, 6, 8. 10, 11, 12

Week 9

5.7   The Logistic Model

 Exercises – 2, 3

5.8  Implicit Differentiation and Related Rates

Exercises – 4, 6, 18, 24 41, 42

          Chapter 5 Exam

    Chapter 6 – Integration

6.1    Antiderivative

Exercises – 5, 6, 8, 12, 16, 28, 39, 40, 42, 46

6.2    Substitution

Exercises – 4, 5, 18, 34, 35, 38, 40

 

Week 10

6.3    Estimating Distance Traveled

Exercises – 2, 4, 18, 20, 23 

          6.4  The Definite Integral    

                 Exercises – 2, 4, 6, 34, 40, 44

6.5   The Fundamental Theorem of Calculus

Exercises – 4, 6, 12, 18, 24, 41, 42, 46, 48

Week 11

6.6  Area Between Two Curves

Exercises – 4, 8, 12, 18, 50, 51, 52

6.7  Additional Applications of the Integral

Exercises – 2, 6, 10, 11, 12 

                Chapter 6 Exam

Week 12

            Review for final exam