Churubusco Senior High School
Ivy Tech Community College-Fort Wayne
Dual Credit Course Syllabus
Course Information:
High School Course Title: AP Calculus AB
HS Credits: 1.0
Ivy Tech Course Title: MATH 211: Calculus I
Ivy Tech Credits: 4.0
Length of Course: full year
Semester Registered: fall
High School Prerequisites: MATH 136 and MATH 137.
Ivy Tech Prerequisites: Demonstrated competency through appropriate assessment or MATH 131
Algebra/Trigonometry I and MATH 132 Algebra/Trigonometry II or MATH 133 College Algebra with Analytic
Geometry and MATH 134 Trigonometry or MATH 136 College Algebra and MATH 137 Trigonometry with Analytic
Geometry
High School Faculty Information:
Name: Todd Lortie
Office Location: Room 110
Contact Information: (260) 693-2131 ext. 1233
Catalog Description:
Reviews the concepts of exponential, logarithmic and inverse functions. Studies in depth the fundamental
concepts and operations of calculus including limits, continuity, differentiation including implicit and logarithmic
differentiation. Applies differential calculus to solve problems in the natural and social sciences, to solve
estimation problems and to solve optimization problems. Applies differential calculus to sketch curves and to
identify local and global extrema, inflection points, increasing/decreasing behavior, concavity, behavior at infinity,
horizontal and vertical tangents and asymptotes, and slant asymptotes. Applies the concept of Riemann sums and
antiderivatives to find Riemann integrals. Applies the fundamental theorem of calculus to solve initial value
problems, and to find areas and volumes and the average values of a function.
Course Objectives:
Upon successful completion of this course the Student will be expected to:
1. Solve problems using the fundamental properties of the elementary functions.
2. Solve problems using the fundamental concept of inverse functions.
3. Calculate the limit of a function at a point or at infinity using the limit laws.
4. Use limits to find asymptotes.
5. Find the points at which a function is continuous or discontinuous.
6. Use the rules of differentiation to find the first and higher order derivatives of elementary functions.
7. Find the derivatives of inverse functions.
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Use implicit differentiation and logarithmic differentiation to find derivatives.
Apply differential calculus to solve problems in the natural and social sciences.
Determine if a given function satisfies the hypotheses of Rolle’s Theorem and the mean value theorem.
Apply the mean value theorem to solve estimation problems.
Apply differential calculus to solve optimization problems.
Apply L’Hôpital’s rule to calculate limits.
Apply differential calculus to sketch curves and to identify local and global extrema, inflection points,
increasing/decreasing behavior, concavity, behavior at infinity, horizontal and vertical tangents and
asymptotes, and slant asymptotes.
Find antiderivatives of elementary functions.
Calculate definite integrals as the limit of Riemann sums
Calculate definite integrals by evaluating antiderivatives.
Use the fundamental theorem of calculus to solve initial value problems.
Use the fundamental theorem of calculus to find areas between curves, volumes of solids, volumes of
solids by cylindrical shells and the average value of a function.
Course Content:
Topical areas of study include -Functions
Continuity
Limits
Derivatives
Rules of differentiation
Logarithmic differentiation
Implicit differentiation
Higher order derivatives
L’Hôpital’s rule
Local and global extrema
Optimization
Rolle’s theorem
The mean value theorem
Antiderivatives
Riemann sums
The Fundamental Theorem of Calculus
Initial value problems
Areas and volumes
The average value of a function
Required High School Textbook:
Calculus. Larson and Edwards. 9th edition. Cengage. ISBN-13: 978-0-547-21289-0.
Grading and Evaluation:
Course grades are available for students by logging into Ivy Tech’s online student system, Campus Connect, at the
following address: http://cc.ivytech.edu/. Ivy Tech will not distribute grades by mail. There may be a waiting
period of 30 to 60 days from the end of the high school semester to obtain grades through Campus Connect.
Methods of Evaluation:
Assessments….……………………………….80%
Assignments/Other.………….………………...20%
Grading Scale:
A+=98-100, A=93-97, A-=90-92, B+=87-89, B=83-86, B-=80-82, C+=77-79, C=73-76, C-=70-72, D+=67-69, D=63-66,
D-=60-62. Below 60-No Credit.
Final Withdrawal Date and Responsibility for Withdrawal:
Each course withdrawal requires the student to obtain his/her instructor’s signature to record the last date of
attendance. The last date to withdraw from this course is March 24, 2014.
Virtual Library:
The Ivy Tech Virtual Library is available to students on and off campus, offering full-text journals and books and
other resources essential for course assignments. The Virtual Library can be found under the “Library” tab of
Campus Connect.
Assignments and Tentative Course Schedule:
Assignments are due as directed by the instructor.
Tentative Course Schedule:
Chapter P: Preparation for Calculus
Sections 1- 4
(1 week)
Chapter 1: Limits and Their Properties
Sections 1-5
(2-3 weeks)
Chapter 2: Differentiation
Sections 1-6
(4-5 weeks)
Chapter 3: Applications of Differentiation
Sections 1-7
(4-5 weeks)
Chapter 4: Integration
Sections 1-4
(5-6 weeks)
Chapter 5: Logarithmic, Exponential, and Other Transcendental Fucntions
Sections 1-7
(6-7 weeks)
Chapter 6: Differential Equations
Sections 1-3
(1-2 weeks)
Chapter 7: Applications of Integration
Sections 1-7
(5-6 weeks)
Chapter 8: Integration Techniques
Sections 1-2
(1 week)
Materials:
You will need paper, pencil, textbook and a scientific and/or graphing calculator (no cell phone calculators).
General Information:
Tardy:
You will receive a tardy if you are not in the room before the bell rings. If you need to go to your locker to get
something you should have brought to class with you, then you will receive a tardy or need to get permission from
me to go get the item. See student agenda for tardy policy.
Expectations:
• When we are in class, you will be expected to be on task.
• Communicate with me...questions, comments, concerns. Contribute to class discussions.
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Typical day outlook:
• Notes/Lecture/Learning Activity
• Assignment
• Brief review
We will have homework assignments, quizzes, chapter tests, and/or quarterly assessments.
Cheating:
Cheating in any form is completely unacceptable, including websites that solve math problems for you. Although it
can be beneficial to work with another student while doing homework, blatantly copying another student’s work is
unacceptable and will result in a zero on the assignment in addition to other discipline. Cheating on a quiz or test
will result in a zero, in addition to other discipline. Second offense of cheating could include, but is not limited to,
a failing grade for the quarter and/or semester.
Behavior:
 Students are expected to be respectful and responsible.
 No food or drinks are allowed without my permission.
 Students are expected to remain in their seats until the teacher dismisses them.
 All handbook policies apply in the classroom.
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Level 1:
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Level 2:
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Students that are disrupting class, not paying attention, sleeping, or falling behind in class.
Consequences: Verbal Warning; Meeting with student; Eye contact; Stand next to Student
Students that repeatedly break Level 1, multiple tardies, or disrespectful to teacher/substitute.
Consequences: Move seat; No passes; Lunch Detention; ASRS; Sending to Office; Contact
Parents
Level 3: Students that continue to break Levels 1 and 2, physically abusive, or bully.
• Consequences: Students will be sent to office; Parent Contact ASRS