Heartland Community College
Math / Science Division
Summer 2013 Student Course Syllabus
Course Title: Calculus 1
Credit Hours: 4 (4 contact hours, 0 lab hours)
Course Prefix and Number: 161-01
Days and times the course meets: MTWR 10:00-11:50am
Room: ICN 2402
Instructor: Dr. Bradley Thomas
Phone: Office: 268-8658
Office: ICB 2407
E-mail: brad.thomas@heartland.edu
Syllabi disclaimer: This syllabus is subject to change; for example change of exam date,
(except the final exam). These changes will be announced during class time.
Catalog Description: Prerequisite: MATH 109 and MATH 128 with grade of "C" or higher, or equivalent, or
assessment. A first course in Calculus. Topics include functions, curve sketching, limits, continuity, definition
of derivative, rate of change, slope, derivatives of polynomial and rational functions; the chain rule, implicit
differentials; approximation by differentials; higher order derivatives; Rolle’s Theorem, mean value theorem,
applications of the derivative, the definite integral, the fundamental theorem of calculus, integration with
applications and the calculus of trigonometric, logarithmic and exponential functions. Every topic is presented
numerically, graphically, and symbolically. Note, a graphing calculator is required for this course (instruction
will be based on a TI 89).
WebAssign: This online software program is not required.
I may access the software for a few class demonstrations.
Textbooks: Stewart (7th Edition) Calculus Early Transcendentals, Brooks/Cole.
Relationship to Academic Development Programs and Transferability: MATH 161 fulfills 4 of the 3(AA),
6(AS), or 12(AAT) semester hours of credit in Mathematics. MATH 161 should transfer as part of the General
education core curriculum described in the Illinois Articulation Initiative to other Illinois colleges and universities
participating in the IAI. However, students should consult an academic advisor for transfer information
regarding particular institutions. Refer to the IAI web page for information as well as www.itransfer.org .
Course Objectives (Learning Outcomes): After completing this course the student should be able to
achieve the following outcomes. The level of these outcomes are based on problem solving abilities (PS2,
PS3, and PS4) described at http://www.heartland.edu/committees/assessment/outcomes.html and on page 26
of the student catalog.
1. Understand the key properties of a wide variety of functions.
2. Understand the concepts of limit and continuity.
3. Understand the concept of the derivative from a numerical and graphical perspective.
4. Differentiate a wide variety of functions symbolically.
5. Demonstrate differentiation in applications.
6. Understand the concept of integration (this includes the antiderivative, definite integral, a brief
introduction to differential equations, etc.) and be able to integrate a wide variety of functions.
Course Outline:
1. Functions
2. Limits and Continuity
3. Differentiation
4. Applications of the Derivative
5. Integration
GRADING SYSTEM / METHOD OF EVALUATION:
Course grade will be based on:
1. Four regular exams (approximately 100 points each);
2. Quizzes (approximately two quizzes each week, approximately 10 points per quiz);
3. Comprehensive final exam (approximately 25% of total possible points).
GRADING SCALE
90 - 100%: A
80 - 89%: B
70 - 79%: C
60 - 69%: D
0 - 59%: F
Exams
Exams will consist of problems that are representative of class activities (e.g., class discussion,
group activities, homework exercises, etc.). After the first exam, all subsequent exams may include
questions from previous exams. Exams will be graded based on the solutions presented (i.e., work
shown) as well as arriving at the correct answers.
After the exam, you will receive the exam solutions. Stop by my office if you have questions (e.g.,
solution to an application, points you earned for an exam question, etc.).
Comment: The comprehensive final exam is based on the regular exams and additional material
since the last regular exam; therefore, your regular exams are ideal study guides for the final exam.
POLICIES ON ATTENDANCE / ASSIGNMENTS / TESTS / MAKEUPS:
Regular class attendance is an important part of academic success. Perfect attendance is
recommended and is expected of all students since there is a high correlation between class
attendance and success in a mathematics course.
If you are absent, then:
1. It is your responsibility to obtain class notes and assignments from a classmate.
If you have questions based on the class notes or assignments, then meet with me
during office hours.
2. If handouts were provided or exams returned during your absence, then stop by
my office during office hours for your exam and handouts.
Make-up exams are not allowed. You may replace at most one regular exam with the percent
score you received on the final exam. For example, suppose your lowest exam score is 64/90
(71%), and your final exam is 180/200 (90%); then your lowest exam score will be replaced with
an 81 (0.9  90 = 81). On the final exam you will be asked which exam you want replaced (e.g.,
Exam II) and its percent score (e.g., 71%); I will replace this exam score if your final exam percent
score is greater and you answer this question.
Comment: In some circumstances arrangements could be made to take a regular exam early, if
work, family or other events arise. Such arrangements can only be made with my approval and
would depend on other factors, such as the timing of the exam and when you could take it.
Note: The best way to address these arrangements is by meeting with me during office hours
(an email or phone message is not sufficient). The earlier we meet, the easier it will be to make
arrangements.
RELATIONSHIP BETWEEN COURSE OBJECTIVES, CLASS ACTIVITIES, AND ASSESSMENTS:
Class activities provide the student the opportunity to achieve each objective by developing skills,
developing an understanding of the concept, and developing the ability to apply these skills and
understanding to solve problems. The assessment is designed to measure your skills, understanding
of concepts, and ability to apply your skills and understanding.
STUDENT LEARNING:
Problem solving, critical thinking, effective communication, appropriate use of technology, and
the ability/willingness to work cooperatively in groups are the primary requirements/expectations of
present and future careers/workplaces. Therefore, in addition to measuring your mathematical skills
and understanding, you will be assessed on your ability to:
 Construct a step-by-step approach to solving the problem, and
 Provide a rational/logical and readable/understandable/comprehensible explanation as
you justify your results during this problem solving process.
DESCRIPTION OF INSTRUCTIONAL TECHNIQUE:
The instructional techniques will be interactive lecturing/discussion and group work. The
lectures/discussions will give the student the opportunity to ask questions and receive feedback on
the concepts presented. Group work gives students the opportunity to interact with their peers.
BELIEFS ABOUT INSTRUCTOR'S ROLE:
My objective is to help you reach your academic goals. Feel free to ask questions and provide
suggestions (your thoughts and ideas are valuable to me).
DESCRIPTION OF LEARNING FORMAT:
Following these steps will assist the student in achieving success in studying mathematics:
1. Attend the class discussions regularly.
2. Participate in class. Math is not a spectator sport. You need to be actively involved.
Ask questions if you don't understand a concept presented or need a point clarified.
3. Read the material in the textbook before class to have a general idea of what will be discussed.
Read the material again after the lecture for clarification and reinforcement of main ideas.
4. Review class notes and re-work class examples before starting homework assignment.
5. Do the homework in a timely manner. The lessons will continue to build on the previous class
meeting's material; if you have not completed that homework you will have trouble understanding
the new material.
6. Ask questions on homework exercises you have attempted.
Please note: it is not a good idea to ask questions on homework exercises you have not attempted.
7. After the exam is graded and returned to you, review the problems you missed.
Ask questions so you understand the mistakes that were made. Math keeps building on previously
learned skills. It is vital that you understand the skills just tested in order to understand the next
topic that will be discussed.
Required Writing and Reading: Some instructors may incorporate writing assignments as part of
the course grade, in keeping with learning outcomes. Reading assignments (other than the text) may
be assigned, possibly in conjunction with writing assignments.
STUDENT CONDUCT, ACADEMIC INTEGRITY, PLAGIARISM:
Refer to the Student Conduct Policy in the Heartland Community College Catalog,
http://www.heartland.edu/catalog/index.jsp#catalog, for specific policies concerning discipline,
academic integrity and plagiarism.
General Comments
Electronic devices (e.g., cell phone, mp3 player, iPad, etc.; except calculators) are to be turned off
and put away (e.g., placed in your backpack, coat pocket, etc.) while class is in session. Food and
drink are not allowed in the classroom (except water). If you need to leave before class is finished
(please let me know before class starts).
IRIS (course grade), Blackboard, Class Cancellations, and your Heartland Student Email
Just a reminder that to access Blackboard, IRIS, class cancellations, and your Heartland student
email, you will need to log into myHeartland, at https://my.heartland.edu.
Please Note: I will email the Student Services syllabus packet.
Summer 2013
Teaching Schedule
and Office Hours
Time/Day
Monday-Thursday
10:00 to 11:50
Math 161-01
ICN 2402
12:00 to 1:50
Math 151-01
ICB 1303
2:00 to 2:30
Office Hours
Final Exam Schedule
Math 151
Math 161
Tuesday
Tuesday
July 30
July 30
Noon to 1:50
10:00 to 11:50
Contacting Me outside of the Class Period
Order of most to least effective method of communicating with me outside the class period is:
1. Stopping by my office during office hours;
2. Calling me during my office hours;
3. Calling me, best time: Monday to Thursday (before I leave);
4. Emailing me (I rarely check emails starting Thursday to sometime on Monday).
Tentative Day to Day schedule:
Week Date
1 M 6-3
T
W
Section covered
Syllabus
1.1-1.3 - Review
1.4-1.6 - Review
Week Date
5 M 7-1
T
2.1 The Tangent and Velocity Problems
2.2 The Limit of a Function
R
2
3
4
2.3 Calculating Limits Using The Limit Laws
2.4 The Precise Definition of a Limit
M 6-10 2.5 Continuity
2.6 Limits at Infinity; Horizontal Asymptotes
T
2.7 Derivatives as Rates of Change
2.8 The Derivative as a Function
W
Review
R
Exam 1
M 6-17 3.1 Derivatives of Polynomials and
Exponential Functions
3.2 The Product and Quotient Rules
T
3.2 The Product and Quotient Rules
3.3 Derivatives of Trigonometric Functions
W
3.4 The Chain Rule
3.5 Implicit Differentiation
R
3.5 Implicit Differentiation
3.6 Derivatives of Logarithmic Functions
M 6-24 3.7 Rates of Change
W
T
W
R
R
6
T
7
W
R
8
3.9 Related Rates
Review
Exam 2
3.8 Exponential Growth and Decay
W
R
M
T
9
Wish
List
M
Section covered
4.1 Maximum and Minimum Values
4.2 The Mean Value Theorem
4.3 How Derivatives Affect the Shape of a
Graph
4.3 How Derivatives Affect the Shape of a
Graph
4.4 Indeterminate Forms and L’Hôpital’s Rule
4.5 Summary of Curve Sketching
4.6 Graphing with Calculus
7-8 4.6 Graphing with Calculus
4.7 Optimization Problems
4.9 Antiderivatives
3.11 Hyperbolic Functions (Introduction)
Review
Exam 3 (3.11 not on exam)
7-15 5.1 Areas and Distances
5.2 The Definite Integral
5.2 The Definite Integral
5.3 Fundamental Theorem of Calculus
5.4 Indefinite Integrals and the Net Change
Theorem
5.5 The Substitution Rule
M 7-22 3.10 Linear Approximations and Differentials
3.11 Hyperbolic Functions (Continued)
T
Review
W
Exam 4
R
Final Exam Review
M 7-29 Final Exam Review
T
Final Exam (10:00 A.M. to 11:50 A.M.)