Math 29 (Calculus 2 for Business & Social Science), section 2687

Spring Semester 2021

Instructor: Betty L. Wong

Class Time: Monday, Wednesday 9:30am – 10:50am (ZOOM)

Office hours: Monday, Wednesday 10:55am – 11:55am (ZOOM)

(Additional hours: by appointment)

E-mail: [email protected]

Text: Barnett, Raymond A., Ziegler, Michael R., Byleen, Karl E., & Stocker, Christopher J., Applied Calculus for Business, Economics, Life Sciences, and Social Sciences, 14th edition (4th custom edition for Santa Monica College), Pearson, 2019

Course Description for Math 29: This course is intended for students majoring in business and social sciences. Topics include techniques and applications of integration, improper integrals, functions of several variables, partial derivatives, method of least squares, maxima and minima of functions of several variables with and without constraints, methods of LaGrange Multipliers, double integrals and their applications, elementary differential equations with applications, probability and calculus.

Canvas: All information for our course will be available through the Canvas learning management system. You can access canvas from the SMC website or you can download the app Canvas for Students on your smart device.

Format of Course: Lectures will be streamed through Zoom. Beginning Wednesday, Feb. 17, you will access the live lectures through Canvas. On the left navigation menu, select ConferNow. During the lectures, you will have the opportunity to ask questions. Homework questions are usually taken at the beginning of class and the rest of the class period is spent learning new material.

Office Hours: Regular office hours will also be done through Zoom. You do not need to make an appointment. The hours listed above will be the times that I will be available through Zoom. Since the office hours will occur right after class, the recording of the lecture will stop and you will be able to stay within the Zoom session for office hours. If you cannot make this designated time but would still like to meet with me, please email me to schedule a more convenient time to meet.

Homework: Textbook homework problems will be assigned daily. A problem set will consist of all assignments for a chapter and will generally be submitted no later than 11:59pm of the night before the exam (unless otherwise indicated). The problems assigned are practice problems designed to help you understand the material covered for that day. It has been shown that a true understanding and genuine completion of homework results in quality performance in any math course. Not turning in homework could result in a student’s final grade being lowered by one grade. Late assignments will not be accepted. No excuses.

Quizzes: Quizzes will be given periodically. Each will be approximately 15-20 minutes long and may be very similar to recent homework problems. Hence, it would be in your best interest to do the homework as it is assigned.

Exams: There will be three exams of 100 points each and a cumulative final exam. No exam score will be dropped. If an exam (only one exam is allowed) should be missed, the percentage score from the final exam will be used in place of the missing score; any other exam missed after that will receive a score of zero.

NOTE: There are no makeups on assignments, quizzes, or exams. 

Format for Quizzes and Exams: Santa Monica College is committed to academic integrity of fully online courses. We care about student learning. Without accountability, student learning has been found to suffer. In actuality, academic dishonesty really is cheating yourself. The college’s commitment to student success demands that instructors provide the proper tools to ensure academic honesty. Math faculty have chosen to require online proctoring for Canvas based exams and quizzes and will be using the online test proctoring service Proctorio. For more information, go to the General Exam Information on the homepage of this Canvas class page.

Grading Procedure: Points obtained on unit exams, quizzes, textbook problem sets, co-requisite component, and the final exam will determine the final grade in this course. There is NO extra credit.

The grading scale is as follows for the semester average: 90-100% for A, 80-89% for a B, 70-79% for a C; 55-69% for a D, and 54% and below is Fail.

Calculator: A nongraphing, nonprogrammable scientific calculator will be permitted on exams and quizzes.

Attendance: It is absolutely imperative that students are present for the zoom lectures every day that the class meets; attendance will be taken daily. Students are responsible for all material and announcements given at each class session. IT IS THE STUDENT’S RESPONSIBILITY TO BE AWARE OF THE WITHDRAWAL DATES AND TO TAKE THE APPROPRIATE NECESSARY STEPS. If a student does not withdraw and stops attending class, the student will receive a failing grade.

Academic Honesty: All students are expected to abide by the Code of Academic Conduct and Reporting Policy on all exams, quizzes, and homework. Copying homework solutions or quiz or exam answers from someone or other source or giving answers to someone during an exam or quiz is considered cheating. If caught cheating or using an electronic device other than a scientific calculator during an exam, the parties involved will receive a zero on the exam and an academic dishonesty report will be filed with the Disciplinarian Office.

Course Content:

Percentage of Term:                                                                        Topics

14%                      Review of methods of integration

7%                        Numerical integration

10%                      Improper integrals

34%                      Functions of several variables

14%                      Differential equations

21%                      Probability distribution and applications

Entry Skills for Math 29: To ensure that a student will have the most successful experience in this class, it will be assumed that the student can (prior to enrolling in Math 29) perform with reasonable accuracy all of the following:

• Define business terms.

• Use algebraic skills to solve business, economics, 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, economics, and social sciences.

• Use concepts of derivatives to graph functions.

• Use derivatives to solve optimization problems.

• Find antiderivatives of functions.

• Use techniques of integration to solve area problems, as well as problems in business, economics, and social sciences.

Exit Skills for Math 29: Upon completion of this course, students will be able to:

• Evaluate definite, indefinite, and improper integrals using substitution, parts, and tables.

• Use numerical integration to estimate definite integrals.

• Use different techniques of integration to solve problems in business and social sciences.

• Differentiate and integrate functions of several variables.

• Find maxima and minima of functions of several variables to solve application problems.

• Find equation of least squares line.

• Use method of LaGrange Multipliers to optimize functions.

• Find total differential of functions to solve application problems.

• Use double integrals to solve application problems.

• Use calculus to solve advanced business and economic problems.

• Apply calculus to statistical topics (probability density function, expected value, standard deviation, and normal distribution).

Student Learning Outcomes: The knowledge, skills, or abilities that the student will demonstrate by the end of this semester.

• Given a real-valued function of two or more variables, use appropriate techniques to differentiate and/or integrate the function and interpret the results.

• Given the description of a practical situation such as related rates, differential approximation, compound interest, supply and demand, cost, revenue/profit maximization, productivity, exponential growth/decay or probability density, define a function that models the situation and analyze this function to obtain relevant information.

• Given a probability density function, determine its expected value, standard deviation, variance and probability of a specific occurrence.

Accessibility Statement:

This course is designed to be welcoming to, accessible to and usable by everyone—including students who are English-language learners, have a variety of learning styles, have disabilities, or are new to online learning. Be sure to let me know immediately if you encounter a required element or resource in the course that is not accessible to you. Also, let me know of changes (adjustments?) I can make to the course so that it is more welcoming to, accessible to, or usable by students who take this course in the future.

Campus Emotional Support for Students:

Over the course of this semester, you may face difficult circumstances beyond your control—such as strained relationships, increased anxiety, alcohol/drug problems, feeling down or depressed, or having difficulty concentrating. These challenges may create barriers to learning or may make it difficult for you to meet some of the course requirements. If you or someone you know is suffering these or other similarly difficult circumstances, please reach out for support. The staff and faculty at Santa Monica College want you to succeed academically and care about your wellbeing. You may contact the College’s Center for Wellness and Wellbeing (LA 110, 310-434-4503), which provides short-term mental health services, community referrals, and a 24/7 emotional support line for students, 800-691-6003. Or, if the situation is an emergency, you may contact the SMC Police Department (310-434-4000 or the SMC LiveSafe app). Please contact me if you want to discuss which SMC service or support might be best for you.

Hints for success in this class:

• Attend class regularly. Keep track of your scores on homework, quizzes, & exams so that you will be aware of your approximate grade at all times.

• Be an active participant in the class. Take good notes and ask questions.

• Read the next section before coming to class.

• Do homework as it is assigned. Try to be neat, accurate, and well organized.

• Get to know others in the class. These friends make good study partners, someone to contact when you are absent, or just someone who can provide moral support when you are experiencing difficulties.

• Take advantage of instructor’s office hours as well as instructional assistants and tutors in the Math Lab, The zoom link for the Math Lab is: https://cccconfer.zoom.us/meeting/register/upcscu-urzguOWTocnILFozYsbFaPtqSYg

• Don’t give up. It takes time for some concepts to make sense. The important thing is to hang in there, get help, and work on it until you get it right.

• Prepare for your exams in a timely manner—do homework as it is scheduled so that you will have time before the exam to work on chapter reviews and/or reviews provided by the instructor (to be downloaded from your course Canvas shell).

(Note: The instructor reserves the right to modify the syllabus at the instructor’s discretion.)

EOO – every other odd-numbered problem; EOE – every other even-numbered problem