Mathematics/Computer Science
| Instructor: Linda M. Hafer | Mat 2150 hybred Home Page |
| For 5 bonus points, bring a copy of the syllabus by my office on or before Friday, August 28.
Chapter R: Algebra Review Section R.1: Polynomials Assignment: 1, 7 - 15 odd, 19 - 25 odd Section R.2: Factoring Assignment: 3 - 9 odd, 13, 17 - 31 odd Section R.3: Rational Expressions Assignment: 1, 9 - 15 odd, 21, 23, 25, 29, 35, 37 Section R.4: Equations Assignment: 3, 7, 11, 15, 23, 25, 27, 33, 37 Section R.5: Inequalities Assignment: 1, 3, 9, 11, 17, 21, 23, 25 Section R.6: Exponents Assignment: 3, 7, 11, 17, 21, 25, 27, 31, 33, 35, 43, 45, 49, 53, 55 Section R.7: Radicals Assignment: 3, 5, 7, 11, 13, 17, 21, 25, 29, 33, 37 |
| Chapter 1: Linear Functions
Section 1.1: Slopes and Equations of Lines Assignment: 3, 7 - 13 odd, 17, 19, 23 - 31 odd, 45, 49, 53, 57, 61, 69 Section 1.2: Linear Functions and Applications Assignment: 3, 5, 9, 19, 23, 25, 35, 39, 43 |
| Chapter 2: Nonlinear Functions
Section 2.1: Properties of Functions Assignment: 3, 21, 27, 29, 37, 37, 43 - 51 odd, 55 - 69 odd, 75 |
| Section 2.2: Quadratic Functions; Translation and Reflection
Assignment: 3 - 6 all, 11, 15, 19, 25, 31, 53 |
| Section 2.3: Polynomial and Rational Functions
Assignment: 1 - 27 odd, 33, 41, 43, 47, 51 |
| Section 2.4: Exponential Functions
Assignment: 3 - 11 odd, 17, 19, 21, 27, 35, 37, 39, 45 Section 2.5: Logarithmic Functions Assignment: 5, 9, 17, 21, 29, 31, 35, 39, 41, 45, 47, 49, 51, 55, 59, 63, 69, 79 |
| Section 2.6: Applications: Growth and Decay; Mathematics of Finance
Assignment: 11, 13, 19, 21a, b, d, e, 25, 31, 37, 39, 47 |
| Chapter 3: The Derivative
Section 3.1: Limits Assignment: 1 - 11 odd, 17, 19, 31 - 51 odd |
| Section 3.2: Continuity
Assignment: 1 - 11 odd, 19, 35 |
| Section 3.3: Rates of Change
Assignment: 1, 5, 7, 15, 17, 29 |
| Section 3.4: Definition of the Derivative
Assignment: 1, 7 - 15 odd, 19, 35, 37, 49 |
| Section 3.5: Graphical Differentiation
Assignment: 7 - 13 odd |
| Chapter 4: Calculating the Derivative
Section 4.1: Techniques of Finding Derivatives Assignment: 1 - 21 odd, 27, 29, 31, 37, 41, 53 |
| Section 4.2: Derivatives of Products and Quotients
Assignment: 1, 5 - 11 odd, 19, 21, 27, 29, 39 10 points extra credit: Develope the product rule for c'(x) when c(x) = f(x)g(x)h(x). Show each step. Hint: c(x) = f(x)[g(x)h(x)] Section 4.3: The Chain Rule Assignment: 1, 3, 7, 11, 19, 21, 23, 29, 33, 35, 39, 45, 49, 59, 61, 63 Section 4.4: Derivatives of Exponential Functions Assignment: 3, 5, 7, 13, 15, 19, 21, 23, 25, 29, 33, 37, and for those who want to challenge themselves algebraically 31. Section 4.5: Derivatives of Logarithmic Functions Assignment: 5, 9 - 15 odd, 21 - 27 odd, 35, 39, 55 |
| Chapter 5: Graphs and the Derivatives
Section 5.1: Increasing and Decreasing Functions Assignment: 5, 19, 31 |
| Section 5.2: Relative Extrema
Assignment: 5, 17, 35 |
| Section 5.3: Higher Derivatives, Concavity, and the Second Derivative Test
Assignment: 3, 13, 19, 21, 29, 35 10 points extra credit: Draw four graphs to illustrate the following: 1) The curve is only increasing and concave up. 2) The curve is only increasing and concave down. 3) The curve is only decreasing and concave up. 4) The curve is only decreasing and concave down. |
| Section 5.4: Curve Sketching
Assignment: 3 - 9 odd, 13, 23, 25, 29. Try as many as you like. Turn in problem 4, Friday, for pop quiz. The graph does not have to be drawn to scale. Label important points |
| Chapter 6: Applications of the Derivative
Section 6.1: Absolute Extrema Assignment: 3, 7, 13, 15, 17, 25, 27, 33, 41, 51 |
| Section 6.2: Applications of Extrema
Assignment: 3, 7, 9, 11, 19, 4 |
| Section 6.4: Implicit Differentiation
Assignment: 1 - 9 odd, 13, 15, 19, 27, 43 Section 6.5: Related Rates Assignment: 1 - 9 odd, 17, 19, 23, 25 |
| Chapter 7: Integration
Section 7.1: Antiderivatives Assignment: 5 - 43 odd, 47, 59, 63 |
| Section 7.2: Substitution
Assignment: 3 - 19 odd, 25 - 31 odd, 41 |
| Section 7.3: Area and the Definite Integaral
Assignment: 3, 9, 15, 21, 25 |
| Section 7.4: The Fundamental Theorem of Calculus
Assignment: 3, 5, 7, 17, 21, 25, 33, 43, 57 |
| Section 7.5: The Area Between Two Curves
Assignment: 3, 7, 9 |
| Chapter 8: Further Techniques and Applications of Integration
Section 8.1: Integration by Parts |