Heartland Community College
Math / Science Division
Spring 2013 Student Course Syllabus
Course Title: Calculus 1
Course Prefix and Number: 161-01
Days and times the course meets: MW 8:00-9:50am
Instructor’s Name: Jeremy McClure
Phone: 309.268.8655 (office)
Office Hours: MW after class and by appointment
Credit Hours: 4 (4 contact hours, 0 lab hours)
Room: ICN 2401
Office: ICN 2027
Email: jeremy.mcclure@heartland.edu
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 program is required. The access code is packaged with the book when purchased from the
bookstore. If you do not purchase the book from the bookstore, an access code will still need to be purchased. This
program offers math practice, tutorials, video lessons, immediate feedback. All students will use this program to complete
all of their homework assignments, and possibly some quizzes. Students register at www.webassign.net. For information
on how to create your account go to http://www.webassign.net/manual/WA_Student_Quick_Start.pdf and use the class
key “heartland 4079 4421”.
Textbooks: Stewart (7th Edition) Calculus Early Transcendentals, Brooks/Cole
Student Communication: To access BlackBoard, IRIS, and your Heartland Student Email, you will need to log into
myHeartland, at https://my.heartland.edu.
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
Method of Evaluation (Tests/Exams, Grading System): Your course grade will be determined as follows,
100-90% = A, 89-80% = B, 79-70% = C, 69-60% = D, 59-0% = F.
Methods of evaluation will consist of, but are not limited to tests, quizzes, homework, and a final exam.
Unit Exams (4)
50%
Quizzes (2 per week on average)
15%
Homework (1 for every section covered)
10%
Comprehensive Final Exam
25%
The grade on your final exam will replace your lowest test score provided that your final is not your lowest test score.
Homework: Students are required to purchase an access code to WebAssign where they will be required to complete
weekly online homework assignments.
Late work policy: There are NO make-ups for exams, quizzes, or assignments. If you are going to miss an exam, contact
me prior to your absences so that we can discuss potentially making alternate arrangements.
Attendance: Regular attendance is necessary to be successful in this class. If a student is absent, it is his/her
responsibility to obtain any class notes and assignments that they missed. If a student has more than two weeks of
absences prior to the midterm then they may be dropped from this course.
Incompletes: An incomplete grade may be given to a student who, by the withdrawal date, can reasonably be expected to
pass the course. Incompletes may be granted only when justified by extreme circumstances (e.g., serious illness, accident,
death or serious illness in the immediate family). Incomplete grades are not given for such reasons as unjustified failure
to appear for the final examination. A written agreement, outline the requirements to be met, must be signed by the
instructor and the student. The agreed upon requirements must be completed no later than the end of the following
semester. By the agreed upon date, the instructor will assign a grade or the incomplete will be changed to an F if the
requirements are not completed.
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.
Notice of Cancelled Class Sessions: Cancelled class sessions, for all HCC classes, will be listed under Cancelled Class
Meetings in the A-Z Index and under Academic Information in the Current Students page on the HCC Web site. Go to
http://www.heartland.edu/classCancellations/ to learn what classes have been cancelled for that day and the upcoming
week. Be sure to check the last column, which might contain a message from the instructor.
Syllabus Disclaimer: This syllabus is subject to change. Any changes will be announced in class. You are responsible
for any and all changes made to the syllabus. Assignments a
Important Dates and Tentative Day-to-Day Schedule
Jan 14 .................. Classes Begin for 16-Week and 1st 8-Week Sessions
Jan 21 .................. Martin Luther King Day (College Closed)
Jan 28 .................. Final Day to Drop with refund for 16-Week Session
Mar 11-16 ............ Spring Break (No Classes, College Open)
Mar 20 ................. Midterm Grades Due by Midnight for 16-Week Session
.............................. Students can start viewing midterm grades online once submitted by Instructors
April 10 ................ Final Day to Withdraw for 16-Week Session
May 8 ................... Classes End for 16-Week
May 9 ................... Optional Review Day
May 10-16 ............ Final Exam Week for 16-Week
May 17 ................. Commencement
May 20 ................. Final Grades Due by Midnight for 16-Week, 12-Week and 2nd 8-Week Sessions
.............................. Students can start viewing final grades online once submitted by Instructors
Tentative Day to Day schedule:
Week Date
1 M 1-14
2
3
W
M 1-21
W
2.1 The Tangent and Velocity Problems
2.2 The Limit of a Function
M 1-28
2.3 Calculating Limits Using The Limit Laws
2.4 The Precise Definition of a Limit
2.5 Continuity
2.6 Limits at Infinity; Horizontal Asymptotes
2.7 Derivatives as Rates of Change
2.8 The Derivative as a Function
Exam 1
3.1 Derivatives of Polynomials and
Exponential Functions
3.2 The Product and Quotient Rules
3.2 The Product and Quotient Rules
3.3 Derivatives of Trigonometric Functions
3.4 The Chain Rule
3.5 Implicit Differentiation
3.5 Implicit Differentiation
3.6 Derivatives of Logarithmic Functions
3.7 Rates of Change
3.9 Related Rates
Review
Exam 2
Spring Break
No Classes – Campus Open
W
4
M 2-4
5
W
M 2-11
W
6
M 2-18
W
7
8
9
Section covered
Syllabus
1.1-1.3 - Review
1.4-1.6 - Review
Martin Luther King Jr. Day
No Classes – Campus Closed
M 2-25
W
M 3-4
W
M 3-11
W
Week Date
10 M 3-18
Section covered
3.10 Linear Approximations and Differentials
W
11 M 3-25
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
4.6 Graphing with Calculus
4.7 Optimization Problems
4.9 Antiderivatives
3.11 Hyperbolic Functions
Exam 3
5.1 Areas and Distances
5.2 The Definite Integral
W
12 M 4-1
W
13 M 4-8
W
14 M 4-15
W
15 M 4-22
W
16 M 4-29
W
17 M 5-6
W
18 M 5-13
W
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
Review
Exam 4
Review
(Optional Review Day)
Final Exam from 8-9:50am