Course Syllabus

MTH 124—A Survey of Calculus

Summer 2024

Course Objective: This course is designed to give students an introduction to the concepts of calculus as

well as present applications of these concepts in a variety of fields so that as you encounter similar scenarios in future environments, you are comfortable in applying what you have learned to solve new problems. One  aspect to be aware of:  this course focuses more on the contextual applications of calculus more than the

abstract mathematical development of calculus concepts.

Text: Applied Calculus 7e  by Warner and Constenoble           Publisher: Cengage Learning

On-line requirement:  WebAssign—an online software for access to lessons, homework, and quizzes. Link: www.webassign.net

Calculator: Recommend TI-83+ or TI-84. Other equivalent calculators (Sharp, Casio, HP) maybe used.   You are responsible for knowing how to use your calculator. A TI-89 or TI-92 or any laptop or tablet may not be used for taking exams.

Grading:  Your grade shall be calculated by the following:

Assignment:                                                                          Points/each                         Total Points

Using Web Assign (Introductory Assignment)                                     6                                       6

WebAssign assignment completion (all Learning and Practice Sets)       6                                     144

1 On-line Quiz per section (24 in all)                                                 10                                    240

5 Lab/Activity Documents                                                                20                                   100

3 Reviews                                                                                      25                                     75

2 Midterm Exams                                                                           100                                    200

Final Exam                                                                                    235                                     235

                                                                                   Total Points Possible:                            1000

Your overall grade will be converted into a percentage and your grade will be determined based on the following scale:

90 - 100% = 4.0   85 - 89% - 3.5   79 - 84% = 3.0   73 - 78% = 2.5

65 - 72% = 2.0     60 - 64% = 1.5  55 - 59% = 1.0   0 - 54% = 0.0

Timeframe: 1 summer semester. Expected time to dedicate to this course is a minimum of 15 hours weekly for the duration of the course.

Plan:   Work at your own pace to master the material presented. Each part of the course is setup for you to complete by a certain date and due dates are posted on the website for each assignment.  As you work

through the assignments and you finish them ahead of time, additional time can be used retaking quizzes,

doing extra practice, and/or getting help from your instructor supervisor. Stay on pace as planned on the

calendar. If you do not, you will not be able to be successful as the course progresses.  There will be weekly Zoom meetings to help you work through the required lab/activities.

For each section, it is recommended you follow these steps to maximize your understanding of the material:

[1]        Read/Skim the section in the textbook.

[2]        Complete the on-line “Learning” assignment for the section (up to 5 attempts.) Make sure you have answered all questions correctly.

[3]        Complete the on-line “Practice” assignment for the section (up to 5 attempts.) Make sure you have

answered all questions correctly. These assignments also include the option to link to the on-line textbook to reread the section. Also, you can practice many problems of the same type by clicking on “Practice Another  Version.” It also gives you the option to “Master it” which opens a new window where another problem practicing the same content can be attempted.

[4]       Utilize problems from the textbook for additional practice. Your textbook contains solutions to all of the odd numbered problems at the end of the book. This can be helpful so that you can check your work and  ensure your understanding of the concepts.

[5]       You can submit questions that will be answered in a timely manner by the course supervisor via   email. Also,you can e-mail any questions to your TA(s) and/or get help from other resources available to you (study partners, tutors, MLC, etc.)

[6]       When you are prepared, take the “Quiz” assignment for the section. If you are satisfied with your  score, you may move on to the next section. If not, repeat the steps above and take the quiz again. EACH QUIZ QUESTION CAN BE ATTEMPTED UP TO 3 TIMES!! Resubmitting one answer at a time is  counted as aretake for that question only.

[7]        The “Review” assignments are due on the day of the exams. Significant time should be spent on

them in preparation for the exams. Also, in the back of the textbook are Appendices which have additional practice problems.

[8]       A lab/activity will be implemented each week. These are required for you to complete and the Zoom videos will work through their solutions.

[9]       Additionally, there are practice exams with solutions posted under the “Resources” link to be utilized when preparing for the exams.

[10]      Utilize office hours of your instructor to assist with needs you have.

Important Dates:

Last date to drop with full refund is May 23rd. Last date to drop with no grade reported June 5th. Topic Listings by section and due dates

Part 1 Coverage

1.1 Functions from the Numerical, Algebraic, and Graphical Viewpoints

1.2 Functions and Models

1.3 Linear Functions and Models

2.1 Quadratic Functions and Models

2.2 Exponential Functions and Models

2.3 Logarithmic Functions and Models

3.1 Limits: Numerical and Graphical Viewpoints

3.2 Limits and Continuity

3.3 Limits and Continuity: Algebraic Viewpoints

Review 1 (Sections 1.1, 1.2, 1.3, 2.1, 2.2, 2.3, 3.1, 3.2, 3.3)

All assignments for these sections are due on May 28th. The 1st  exam is held on May 29th  and covers Part 1.

Part 2 Coverage

3.4 Average Rates of Change

3.5 Derivatives: Numerical and Graphical Viewpoints

3.6 Derivatives: Algebraic Viewpoint

4.1 Derivatives of Powers, Sums, and Constant Multiples

4.2 A First Application: Marginal Analysis

4.3 The Product and Quotient Rules

4.4 The Chain Rule

4.5 Derivatives of Logarithmic and Exponential Functions

5.1 Maxima and Minima

5.3 Inflection Points and Concavity

Review 2 (Sections 3.4, 3.5, 3.6, 4.1, 4.2, 4.3, 4.4, 4.5, 5.1, 5.3)

All assignments for these sections are due on June 12th. The 2nd  exam is held on June 13th  and covers Part 2.

Part 3 Coverage

9.2 Derivatives of Trigonometric Functions (Intro to sine and cosine only)

6.1 The Indefinite Integral

6.3 The Definite Integral: Numerical and Graphical Viewpoints

6.4 The Definite Integral: Algebraic Viewpoints and the Fundamental Theorem of Calculus

7.2 Area Between Two Curves and Applications

Review 3--Final Exam Review (Cumulative--Covers all sections of the course)

All assignments for these sections are due on June 26th. The Final Exam is held on June 27th  and is cumulative and covers all sections of the course.