# Mathematics for Business and Social Science (Math 28) Fall 2014

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3 Entry Level Skills: Skills you need to have prior to enrollment in this course. 1. Identify and graph different types of functions (polynomial, rational, piecewise, exponential, logarithmic. 2. Determine domain and range of functions. 3. Perform operations (add, subtract, divide, compose) on functions. 4. Factor completely algebraic expressions. 5. Solve linear and quadratic equations and inequalities. 6. Solve rational equations and inequalities. 7. Solve higher-order equations. 8. Solve exponential and logarithmic equations. 9. Solve systems of equations. 10. Perform operations on exponential and logarithmic expressions. 11. Perform operations on polynomials. 12. Write algebraic expressions to be used in solving application problems. 13. Compute the sum of a geometric sequence. 14. Apply the binomial theorem to expand a binomial 15. Use a calculator to perform basic operations Exit Level Skills: Skills to be learned during this course. 1. Define business terms 2. Use algebraic skills to solve business, economics and social science problems. 3. Solve finance problems. 4. Find the limit of functions. 5. Find derivatives of functions and express their answers in simplest factored form. 6. Use derivatives to solve problems in business, economics and social sciences. 7. Use concepts of derivatives (as well as domain, intercepts, asymptotes, etc.) to graph functions. 8. Use derivatives to solve optimization problems. 9. Find anti-derivatives of functions. 10. Use the techniques of integration to solve basic area problems, as well as problems in business, economics and social science. Math 28 SLO's: Given a situation encountered in finance, students will determine the correct finance formula to solve the problem. Given a polynomial, rational, exponential or log function, students will analyze the function using concepts of derivative and create a graph that includes intercepts, holes, asymptotes, maximum and/or minimum values and points of inflection, if they exist. Given a situation encountered in business or social sciences, students will determine the function or equation that best models the situation and solve the problem. Lecture Schedule & Homework Assignments (Subject to Change) Date 9/2 T 9/3 W 8/4 TH Homework A-3: Factoring Polynomials: #19-55 odd A-4: Operations on Rational Expressions: #23-33 odd; 43 A-5: Integer Exponents and Scientific Notation: #1-13 odd; 39, 41, all A-6: Rational Exponents and Radicals: #1-65 odd; 63, all Supplementary problems 1-1: Functions: #39-79 odd, 91, : Elementary Functions; Graphs and Transformations: #1-31 odd, 47, 49, 51, 65, 69, 71 3

4 1-3: Linear and Quadratic Functions: # 5-47 odd; 63, 65, 69, 77 9/8 M 9/9 T 9/10 W 9/11 TH 1-4: Polynomial and Rational Functions: # 1-19 odd; odd; 57, 59abc 1-4: Polynomial and Rational Functions 1-4 Supplement (on-line, formerly section 2-3) 1-5: Exponential Functions: #1-9 odd; 23, 25, odd; odd; 59, : Logarithmic Functions: #13-19 odd; odd; odd; odd; 79, 81, 87, 92 Chapt. 1 Rev: #13, 26, 30, 33, 34, 35, 37, 38, 39, 40, 50, 52, 68, 69, 72, 76, 86abcf 9/15 M 9/16 T 9/17 W 9/18 TH 9/22 M 9/23 T 9/24 W 9/25 TH 9/29 M 9/30 T 10/1 W 10/2 TH 10/6 M 10/7 T 10/8 W 10/9 TH 10/13 M 10/14 T 10/15 W 10/16 Th D 3-1: Simple Interest : #9-77 odd D3-2: Compound & Continuous Compound Interest: #33-67 odd; odd; odd D3-3: Future Value of an Annuity; Sinking Funds: #15-19 odd, odd Exam #1, Read 2-1 D3-4: Present Value of an Annuity; Amortization : #15-31 odd (omit #21) D3-4: Present Value of an Annuity; Amortization: #33-61 odd (omit #37) Chapt. D3 Rev: #13a, 15, 17, 19, 21, 32, 36, 38, 44, :Introduction to Limits: #13-85 odd; 89c, : Infinite Limits and Limits at Infinity : #9-63 odd; 85, 89, : Continuity: #9-55 odd;69-73odd; 83, 85, : The Derivative: #9, EOO; 69, odd (omit #37) 2-5: Basic Differentiation Properties: #9-63 odd; 73-91odd 2-6: Differentials: #9-19 odd; odd; 45, 48, : Marginal Analysis in Business & Economics: #9-49 odd; 51a Chapt 2 Rev: # 25, 37, 42, 45, 47, 49, 53, 60, 62, 64, 68, 83, 90 Exam #2 Read : The Constant e and Continuous Compound Interest: #25-35 odd; 39ac, 41, 45, : Derivatives of Exponential & Logarithmic Functions: #9-53 odd; 63, : Derivatives of Products and Quotients 3-3: #9-73 odd 3-3: Derivatives of Products and Quotients 3-3: #75-97 odd 3-4: Chain Rule: #9-43 odd 4

5 10/20 M 10/21 T 10/22 W 10/23 TH 10/27 M 10/28 T 10/29 W 10/30 Th 11/3 M 11/4 T 11/5 W 11/6 Th 11/10 M 11/11 T 11/12 W 11/13 Th 11/17 M 11/18 T 11/19 W 11/20 Th 11/24 M 11/25 T 11/26 W 11/27 Th 3-4: Chain Rule: #45-69 EOO; odd 3-5: Implicit Differentiation Logarithmic differentiation: #9-55 odd (omit #49) Supplementary problems (in text) 1-5 all, Page 231 # odd 3-6: Related Rates: #9-25 odd; 33, 35, : Elasticity of Demand: #33-37 odd; #47-67odd; 81 Review (Chapter 3) Chapt. 3 Rev: #11, 18, 20, 24, 29, 31, 36, 44, 46, 50 Exam #3, Read : First Derivative and Graphs: #9-16 all; odd; odd; odd 4-1: First Derivative and Graphs 4-1: #65, 67, all; odd; 91, : Second Derivative and Graphs: #9, 11; all; odd 4-2: Second Derivative and Graphs: # odd 4-4: Curve-Sketching Techniques : #9-63 odd 4-4: Curve-Sketching Techniques: #71-77 odd; 81, supplement (on line formerly section 5-4) 4-5: Absolute Maxima and Minima: #9-77 odd No Class Veteran s Day 4-6: Optimization: #9-31 odd (omit #23) 4-6:Optimization: #33; odd Chapt 4 Rev: #12, 25, 33, 35, 41, 45, 52, 58, 60, 63, 73 Exam #4, Read : Antiderivatives and Indefinite Integrals: #9-57 odd 5-1: Antiderivatives and Indefinite Integrals: #59-69 odd; 71, 73, 81, 85, : Integration by Substitution: #9-43 odd 5-2: Integration by Substitution: #59-75 odd; 77, 79, 81ab, 83, 85, : The Definite Integral: #15, 17, 19, 61, : Definite Integral as a Limit of a Sum: supplement in text; # 1-4 all 5-5: Fundamental Theorem of Calculus : #13-47 odd; 49a-55a odd; odd; 69, 71, 77, 81, 87, 91,93 Chapt 5 Rev: #17, odd; 50, 52, 55, 57, 68, 71 No Class Thanksgiving 5

6 12/1 M 12/2 T 12/3 W 12/4 Th 12/8 M 12/9 T 12/10 W 12/11 Th 12/15 M 12/16 T 6-1: Area Between Curves: #9-27 odd; odd 6-1: Area Between Curves: #43-57 odd; 65, 67, : Applications in Business and Economics: #55-65 odd 6-3: Integration by Parts: #15-27 odd; odd 6-3: Integration by Parts : #47-57 odd; 63, 75, 76, : Integration Using Tables: #9-27odd; odd; 69, 71 Chap 6 Rev: #5, 7, 9, 13, 25, 28, 35, 37, 41 Exam #5 General Course Review (Download Review from my web site) FINAL EXAM 12:00-3:00 6

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