High School Name
High School Course Name/ PNC MA 161: Plane Analytic Geometry and
Calculus I
Instructor Name
Room number
Class Meeting Times: please indicate block scheduling, traditional, minutes per class, etc.
Additional Time (before/ after school/ study hour, etc.)
Email address: email address
Blackboard Learn: https://mycourses.pnc.edu/
Students will have access to Blackboard once they
are registered into the course.
Prerequisites: Please indicate
Prerequisites for the course
Required Class Texts, Supplements and Graphing Calculator:
Textbook (name, author and ISBN)
Other supplements (calculator, text website, etc.
Grading Scale:
90-100%
A
80-89%
B
70-79%
C
60-69%
D
<59%
F
Assessment/Grades:
Category
Percentage
Final Exam
25%
Grading Categories (exams,
quizzes, etc.)- put each category on
a different line
Percentage for each category
ATTENDANCE POLICY: Please state your attendance policy
HOMEWORK POLICY: Please state your homework policy
GRADING POLICY: A straight grade will be used, there are no plus or minus grades in this
course for the PNC grade. Any additional grading policy
MAKE-UP TEST AND LATE ASSIGNMENT POLICY: Please indicate the exam make-up
and late assignment policy.
Learning Outcomes Upon successful completion of this course students will be expected to
High School
Please indicate the learning
outcomes
Purdue North Central
1. Compute limits of algebraic, trig,
exponential, logarithmic, inverse trig, and
piece-wise defined functions.
2. Use limits to solve a range of
applications, including (among others):
limits of difference quotients as slopes of
tangents and instantaneous rates of
change, infinite limits and limits at
infinity as related to asymptotes of graphs
of functions and various physical
applications.
3. Apply various limit theorems and solve a
range of related applications, including
(among others): the Intermediate Value
Theorem and the Squeeze Theorem.
4. Use the graph of a function to estimate its
derivative.
5. Find the derivative of an algebraic
function using the limit of a difference
quotient.
6. Use the derivative of a function to sketch
a possible graph of the function.
7. Use the graph of a function to sketch its
derivative.
8. Compute derivatives of algebraic,
trigonometric, exponential, logarithmic,
inverse trigonometric functions using the
basic differentiation rules, including:
constant function, sum/difference,
constant multiples, power of a variable,
product and quotient rules, and the chain
rule (especially the special case as the
extended power rule).
9. Determine the continuity and
differentiability of a function at a point
and on a set.
10. Compute derivatives of algebraic,
trigonometric, exponential, logarithmic,
inverse trigonometric using implicit
differentiation, and solve related
applications (especially rates of changes,
slopes of tangents, and related rates).
11. Use the derivative(s) of a function to
determine the properties of the graph of
the function.
12. Use derivatives to solve a range of
mathematical application problems,
including (among others) those related to:
rates of change, optimizations problems,
linear approximation and differentials, the
Mean-Value Theorem.
13. Use derivatives to compute limits using
L'Hôpital's Rule.
14. Use Newton’s Method to approximate
zeros of a function.
15. Compute antiderivatives of algebraic,
trigonometric, exponential, logarithmic,
inverse trigonometric, and solve a broad
range of applications.
16. Compute indefinite integrals of algebraic,
trigonometric, exponential, logarithmic,
inverse trigonometric using formulas and
substitution, and solve a range of
applications.
17. Compute Riemann Sums and interpret in
the context of a given problem situation,
including as an area and net area,
18. Understand and be able to apply the
Fundamental Theorem of Calculus, and
solve a range of applications.
19. Use the properties of definite integrals to
manipulate definite integrals in problem
solving.
20. Compute definite integrals of algebraic,
trigonometric, exponential, logarithmic,
inverse trigonometric using formulas and
substitution, and solve a range of
applications, including.
21. Solve problems mathematical applications
using the definite integral including those
related to: even and odd functions; areas
and net area; average values of functions;
position, velocity, displacement and
distance, net change and future value,
acceleration; and areas of regions between
(bounded by) two (or more) curves.
22. Use appropriate modern technology to
explore calculus concepts.
High School Course
MA 161 Course Outline
PNC MA 161
High school math course outlineplease identify the topics that you
cover in the course.
Functions
Review of Functions
Representing Functions
Inverse, Exponential, and Logarithmic Functions
Trigonometric Functions and Their Inverses
Limits
The Idea of Limits
Definitions of Limits
Techniques for Computing Limits
Infinite Limits
Limits at Infinity
Continuity
Precise Definitions of Limits
Derivatives
Introducing the Derivative
Working with Derivatives
Rules of Differentiation
The Product and Quotient Rules
Derivatives of Trigonometric Functions
Derivatives as Rates of Change
The Chain Rule
Implicit Differentiation
Derivatives of Logarithmic and Exponential
Functions
Derivatives of Inverse Trigonometric Functions
Related Rates
Applications of the Derivative
Maxima and Minima
What Derivatives Tell Us
Graphing Functions
Optimization Problems
Linear Approximation and Differentials
Mean Value Theorem
L’Hopital’s Rule
Newton’s Method
Antiderivatives
Integration
Approximating Areas under Curves
Definite Integrals
Fundamental Theorem of Calculus
Working with Integrals
Substitution Rule
Applications of Definite Integrals
Velocity and Net Change
Disability Accommodations Statement: As a CEP student, you are required to follow the PNC policy for
disabilities. Purdue University North Central is committed to providing all students equal access to learning
opportunities. Students with a documented disability that either prevents them from fully participating in
any aspect of this course, or that require an accommodation should contact the instructor within the first two
weeks of this course. Students who have self-identified and who have appropriate documentation (from a
medical professional) that has been verified through the PNC Disability Services Coordinator, (located in
LSF 103 or by phone at 219-785-5374), will be given accommodations for this course . It is the student's
responsibility to request an accommodation and schedule their exams with the Student Success Center,
professor, or Disability Services Coordinator.
Course Evaluation
Course evaluation for each course is done online. After the 12th week of the semester you
will
receive emails asking you to fill out the course evaluation for each course on
line. There may be in-class reminders for completing the online evaluation. IT IS VERY
IMPORTANT THAT YOU COMPLETE THE COURSE EVALUATION since your
feedback is important for improving the course.
Academic Integrity
As a PNC-CEP student, you are responsible for following PNC’s academic integrity
policy. Academic Integrity is a core value of our community. Academic honesty and
appropriate classroom behavior are the responsibility of each PNC student. Students who
are found to be in violation of the academic integrity policy will be subject to both
academic and non-academic sanctions such as failing grade in the class and/or in cases
where the student may have a pattern of misconduct with the University, the student may
be separated from the University because of this behavior.
You are expected to be familiar with the University’s Code of Conduct and possible
sanctions. You can access this document on the Dean of Students webpage under
University and Campus Policies/Student Conduct, Disciplinary Procedures and Appeals,
or at: http://www.pnc.edu/Policy/conduct. Students should also make themselves aware
of an addendum covering classroom disruption which can be found at:
http://www.pnc.edu/academic_affairs/wp-content/uploads/sites/20/2013/05/Disruptionin-Classroom-Policy.pdf.
Students should understand that if you are charged with an offense, pleading ignorance of
the rules will not serve as an excuse. You need to make yourself familiar with these
university documents. Any questions you may have can be directed to the Dean of
Students.
Counseling Services
Short term confidential counseling is available to enrolled students free of charge through
the Student Counseling Services office located in LSF 103. The phone number is 219785-5230 or 1-800-872-1231 ext. 5230. Students may call or stop in to make an
appointment Monday through Friday 8:00 AM to 4:30 PM.