Math 28
Calculus for Business and Social Sciences
Five Units
Section 1381, MTWHF, 10:15 AM - 1:05 PM
Santa Monica College, Spring 2011
Instructor:
Homepage:
Email:
Office:
Class Location:
Sam Soleymani
www.mathetica.com
soleymani_sam@smc.edu
N/A
MC 66
Prerequisite: Math 26 with a grade of at least C or proper placement in Math 28
Course Description: This INTENSIVE course is intended for students majoring in business or social sciences. It is a
survey of differential and integral calculus with business and social science applications. Topics include limits, differential
calculus of one variable, including exponential and logarithmic functions, introduction to integral calculus, and
mathematics of finance.
Required Text: Barnett/Ziegler/Byleen Applied Calculus for Business, Economics, Life Sciences, and Social Sciences.
11th ed, Prentice Hall,(2nd custom edition for SMC) 2003
Entry Skills for Math 28: Prior to enrolling in Math 28 students should be able to:
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Identify and graph different types of functions (polynomial, rational, piecewise, exponential, logarithmic)
Determine domain and range of functions
Perform operations (add, subtract, divide, compose) on functions
Factor completely algebraic expressions
Solve linear and quadratic equations and inequalities
Solve rational equations and inequalities
Solve higher-order equations
Solve exponential and logarithmic equations
Solve systems of equations
Perform operations on exponential and logarithmic expressions
Perform operations on polynomials
Write algebraic expressions to be used in solving application problems
Compute the sum of a geometric sequence
Apply the binomial theorem to expand a binomial expression
Use a calculator to perform basic operations
Exit skills for MATH 28: Upon successful completion of this course, the student will be able to:
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Define business terms
Use algebraic skills to solve business, economic, and social science problems
Solve finance problems
Find the limit of functions
Find derivatives of functions and express their answers in simplest factored form
Use derivatives to solve problems in business, economic, and social sciences
Use concepts of derivatives (as well as domain, intercepts, asymptotes, etc.) to graph functions
Use derivatives to solve optimization problems
Find antiderivatives of functions
Use the techniques of integration to solve basic area problems, as well as problems in business, economics and
social science
Academic Conduct: As testament to their commitment and readiness to join the Santa Monica College academic
community, all students are expected to uphold the Honor Code. Cheating of any kind during exams or quizzes will
result in severe consequences such as receiving a failing grade or being dropped from the course as well as being
reported as academically dishonest. Cheating includes altering graded materials and using external resources or copying
someone else’s homework and out-of-class assignments to complete own exam, project, or homework assignments.
Cell phones are a huge source of distraction in the classroom for you and for the others. They must be deactivated
while class is in session. This means no sounds or vibrations may occur from an incoming text message or a phone call.
A pop quiz will be issued to the entire class if anyone is caught texting or if a cell phone belonging to any student is
activated while class is in session. Anyone who uses a cell phone or any other unapproved electronic devices during an
exam or quiz will receive a failing grade for that exam or quiz.
Deadlines: It is the student’s responsibility to be aware of withdrawal dates and to take the appropriate actions.
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To drop and be eligible for a REFUND of enrollment fees is Thursday, 06/23/11
To drop and avoid a “W” is Monday, 06/27/11
To drop and receive a GUARANTEED “W” is Sunday, 07/10/11
No further transaction allowed after 07/20/2011
Calculators: You are required to have scientific for certain exams and assignments.
Software and Internet Access: All students are required to have internet access for this course. Microsoft Excel will be
used to complete some assignments. Students are able to have access to internet and Microsoft Excel via campus
computers. Open Office is an open resource that can be downloaded for free from www.openoffice.org and may be
used instead of Microsoft Office.
Attendance is highly suggested. Each absence is highly likely to have a negative impact on your performance. Four or
more absences will result in an automatic exclusion from or a failing grade in the course. You are expected to be
punctual to every session. If you miss a session, make sure you update yourself on the material that you have missed.
Methods of Evaluation
A) Exams: There will three exams, which are based on homework assignments, class lectures, and discussions. Exams
are closed note and closed book. You must have your own tools such as a ruler and a calculator during exams. The
lowest exam score will be replaced by final exam score if your final exam score exceeds the minimum exam score.
B) Project Assignments will be issued on financial mathematics. For the most part, online instructions and Microsoft
Excel or Open Office will be used to complete this project.
C) Final Exam: The final exam is cumulative. In order to get a satisfactory grade on the final exam you should frequently
review the materials that have been covered previously. Failing to take the final exam will result in a failing grade.
D) Homework Assignments and Quizzes: Assignments will be collected on the Friday of each week OR on announced
due dates. A few randomly selected problems from each set will be graded. Write your name on every page and be neat.
Late homework and assignments that are not stapled will not be accepted.
Grading
Event
Exams
Project
Homework/Quizzes
Final Exam
Total
Points
100
100
Vary
150
Total
300
100
100
150
650
Letter Grade
A 578-650
B 513-579
C 448-512
D 383-447
F 000-382
Tentative Schedule and Homework Assignments
(Subject To Change)
Date 6/20 6/21 Section Number and Title A‐3: Factoring Polynomials A‐4: Operations on Rational Expressions A‐5: Integer Exponents
A‐6: Rational Exponents and Radicals Assignments 19‐55 EOO 19‐29 ; 39 1‐13 ; 39, 41, 43‐46 all 1‐65 EOO; 63, 83‐88 all 1‐1: Linear Equations and Inequalities 1‐2: Graphs and Lines 17‐39 ; 65, 67 37‐53 EOO; 59, 61, 65, 75 2‐1: Functions 45‐71; 91‐94 all; 107‐111,; 123 9‐27; 43, 45, 47, 61, 67 2‐2: Elementary Functions: Graphs & Transformation 2‐3: Quadratic Functions 2‐3: Polynomial and Rational Functions 6/22 2‐4: Exponential Functions 2‐5: Logarithmic Functions 6/23 6/24 6/27 3‐1: Introduction to Limits Review Exam 1 on Chapters 1, 2, 3.1 and A 3‐2: Continuity 3‐3: Infinite Limits and Limits at Infinity 3‐4: The Derivative 6/28 3‐5: Basic Differentiation Properties 6/29 3‐6: Differentials 3‐7: Marginal Analysis in Business & Economics 4‐1: The Constant and Continuous Compound Interest 6/30 4‐2: Derivatives of Exponential & Logarithmic Functions 7/1 4‐3: Derivatives of Products and Quotients 4‐4: Chain Rule 7/4 7/5 7/6 7/7 7/8 4‐5: Implicit Differentiation Independence Day 4‐6: Related Rates 4‐7: Elasticity of Demand 4‐7: Elasticity of Demand continued 5‐1: First Derivative and Graphs 5‐1: First Derivative and Graphs continued Review Exam 2 on Chapters 3.2‐4‐7 5‐2: Second Derivative and Graphs 23, 25, 57, 59, 61 Supplement 1‐9; 15, 17, 33, 35, 43‐51, 61‐67, 71, 75 13‐23; 31‐41; 53‐65; 71‐
77; 93, 95, 99 1‐59; 63, 65c, 67, 69, 71 1‐35; 41‐53 EOO; 59, 63, 65, 71 1‐53 EOO; 65, 69, 72 1‐41 EOO; 43, 45, 49, 51‐67 EOO 1‐55; 73, 81, 83 1‐11 ; 19‐23 ; 37, 40, 45
1‐17 ; 19a 17‐27 ; 31ac, 33, 37, 39 1‐41 EOO; 51 63-83 EOO
1‐41 EOO 1‐47 (omit 41) 1‐17 ; 25, 27, 29 21‐31 ; 41 1‐33 EOO; 47‐53 7‐35 Date 7/11 Section Number and Title 5‐2: Second Derivative and Graphs continued 5‐4: Curve‐Sketching Techniques Assignments 37‐61 ; 79, 83 1‐57 EOO 7/12 5‐4: Curve‐Sketching Techniques continued 5‐5: Absolute Maxima and Minima 5‐6: Optimization 6‐1: Antiderivatives and Indefinite Integrals 65, 69, 75, 83 1‐61 EOO 7‐25, 31‐37 (omit 15 & 35) 1‐31 ; 47‐77; 79‐99; 7/13 7/14 6‐2: Integration by Substitution 7/15 1‐39; 47‐71ab,73, 75, 79 6‐4: Geometric‐Numeric Introduction to the Definite Integral 1, 3, 5, 47, 59 6‐5: Definite Integral as a Limit of a Sum Supplement 7/18 6‐5: Fundamental Theorem of Calculus 7/19 7‐1: Area Between Curves Review Exam 3 on Chapters 5.1‐6.5 D3‐1: Simple Interest D3‐2: Compound & Continuous Compound Interest 7‐2: Applications in Business and Economics D3‐3: Future Value of an Annuity; Sinking Funds 7‐3: Integration by Parts 7‐3: Integration by Parts continued D3‐4: Present Value of an Annuity; Amortization D3‐4: Present Value of an Annuity; Amortization 7‐4: Integration Using Tables Project on Financial Math Due Review Final Exam 5‐39 ; 41a‐47a ; 61, 63, 69, 73, 79, 83, 85 1‐41; 61, 63, 79 1‐45 EOO; 51, 59 33‐77 EOO; 79 43‐53 9‐39 (omit 19) 1‐21
29‐49; 55, 67, 68, 71 9‐33 (omit 19) 35‐51 1‐27 ; 51 7/20 7/21 7/22 7/25 7/26 7/27 7/28 7/29 For any range of problems indicated above you are responsible to complete the odd problems unless
stated otherwise. EOO stands for Every Other Odd.