School Year 2017-2018, Mester 1 and 2 Room Number 104

Sean Lee Calculus

School Year 2017-2018, Mester 1 and 2 Room Number 104

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COURSE INFORMATION

Course Description:

Calculus is a foundational course in life; it plays an important role in the understanding of science, engineering, economics, and computer science, among other disciplines. This introductory calculus course covers differentiation and integration of functions of one variable, with applications. Topics include:

·  Concepts of Function, Limits and Continuity

·  Differentiation Rules, Application to Graphing, Rates, Approximations, and Extremas

·  Definite and Indefinite Integration

·  The Fundamental Theorem of Calculus

·  Applications to Geometry: Area and Volume

·  Applications to Science: Average Values, Work, and Probability

·  Techniques of Integration

·  Approximation of Definite Integrals, and L'Hôspital's Rule

Course Objectives/ Learning Outcomes:

By the end of this course you will be able to;

·  Use both the limit definition and rules of differentiation to differentiate functions.

·  Sketch the graph of a function using asymptotes, critical points, the derivative test for increasing/decreasing functions, and concavity.

·  Apply differentiation to solve applied max/min problems.

·  Apply differentiation to solve related rates problems.

·  Evaluate integrals both by using Riemann sums and by using the Fundamental Theorem of Calculus.

·  Apply integration to compute arc lengths, volumes of revolution and surface areas of revolution.

·  Use L'Hospital's rule to evaluate certain indefinite forms.

This course will not just teach you the content of calculus course, but it will teach you how to think critically, and how to become independent thinkers.

MATERIALS:

Ex: Students will be required to bring the following with them to class EVERYDAY:

●  One 3-ring binder with 3 dividers devoted to warm up, exit slip, and tests

●  Multiple pencils and erasers

●  A notebook or composition book

●  1 GRAPHING calculator. If you have an older TI-83 Plus, that is perfect. If not, the student must purchase a TI-84 Plus. It is absolutely CRUCIAL for this course. (Retails for $120, on sale for now at various retailers for $100).

**When purchasing TI-84 Plus, please please please DO NOT buy the TI 84 Plus CE. This graphs everything in color, but it is EXTREMELY slow to graph anything**

COURSEWORK:

·  Typical daily class schedule starts with a warm up, then direct instruction, practice problems, followed by going over the practice problems, time to clear up and confusions over classwork or homework, and finally the exit slip.

·  Major Assignments; quizzes, tests, classwork, homework

·  General list of topics/units that will be covered; Derivatives, Chain Rule, Mean Value Theorem, Integrals, Riemann Sum, Definite Integral, Related Rate and Optimization.

CLASS EXPECTATIONS:

(Provide a general description of your expectations for the course – this should include EPAF rules listed below.)

1.  Always be prepared for class by bringing your materials to class

2.  Show respect to everyone including guests

3.  Complete all homework assignments before class

4.  Bathroom passes are not allowed

5.  Respect yourself and others by behaving in a manner that contributes to a positive atmosphere of learning in the classroom.

6.  Be honest and always do your own work on tests, quizzes, and homework

7.  Stay in your seat at all times unless instructed to do otherwise

8.  No food, gum, or drinks allowed in class! Bottle of water is acceptable.

Classroom Rules

Examples of inappropriate behavior include:

·  Chewing Gum

·  Pushing

·  Play fighting

·  Rude talk

·  Disobedience

·  Inappropriate touching

·  Littering

·  Teasing

·  Spitting

·  Speaking out of turn

·  Tripping others

·  Play wrestling

·  Gang related activities

·  Eating in class

·  Running in class and hallways

·  Lying

·  Hitting

·  Misusing equipment

·  Tagging/ Graffiti

·  Not following directions

·  Cell phones should not be visible

·  No headphones in the building

Students are expected to follow all classroom rules and procedures as well as the school wide policies for behavior. The five main criteria for acceptable behavior are the following:

BE Prompt BE Productive BE Polite BE Prepared Be Professional

HOMEWORK:

Homework will be given on a daily basis and students are expected to have homework completed by the beginning of each class period. Late homework will not be accepted unless due to absence or illness. You will be granted just one extra day to make up the homework.

ATTENDANCE:

It is crucial that you are in class everyday. Check the school website before coming in to class to check for any missed assignments. Otherwise, if you are absent, it is your responsibility to come and get any work you missed while you were absent. You may see me during my office hours/tutoring or before school to obtain any work you missed. Work not turned in while you were absent will not be counted as late as long as it is turned in the day you return to school.

GRADING Policies:

Grades will be determined as; On a weekly basis you will receive the following grades;

A 90% - 100% Test 100 points

B 80% - 89.99% Quiz 50 points

C 70% - 79.99% Homework 5 points

F 69.99% and below Warm Up/ Exit Slips 2 points

●  You may view your grades through PowerSchool on a weekly basis, they will be updated at the latest every two days.

MAKEUP EXAMS/RETAKES:

·  Test anxiety can strike. Anyone can have a bad day on a test day. Therefore, makeup exams will be offered. In order to make up an exam please make an appointment after school with me at least a day before by writing in the sign in sheet. The appointment must be made no later than 3 days after the exam was taken. After the 3 days, you will receive a 0 on the exam.

EXTRA CREDIT:

●  Extra Credit may be given on a quiz/test, or a classwork/homework assignment. Large extra credit may be awarded at the end of the mester depending on the entire classroom’s behavior over the mester.

WEEKLY AGENDA

1st Mester, Week # / Topics to be covered / Book Chapter
1
Aug 15 – Aug 18 / Derivatives, Power Rule, Product Rule, Quotient Rule, Chain Rule, Trigonometric Rule / 3.3, 3.5, 4.1
2
Aug 21 – Aug 25 / Rate of Change, Limits, Infinity, Continuity, Instantaneous Rate of Change, Tangent Lines, L’Hopital / 2.1, 2.2, 2.3
3
Aug 28 – Sep 1 / Implicit Differentiation, Extremas, Maximum/Minimum, Increasing/Decreasing, Concave Up/Down / 5.1, 5.3
4 (Sep 4th Labor Day)
Sep 5 – Sep 8 / Graphing Functions based on Derivatives. / 5.3
5 (Sept 15, No School)
Sep 11 – Sep 14 / Optimization / 5.5
6
Sep 18 – Sep 22 / Project Related to Optimization
7
Sep 25 – Sep 29 / Related Rates / 5.6
8
Oct 2 – Oct 6 / Linearization, Derivatives of Exponentials, Logarithms, Inverse Trig Functions, Parametric Functions / 5.5, 4.1, 4.2, 4.3, 4.4
9
Oct 9 – Oct 15 / Left/Right Riemann Sum, Midpoint Formula, Trapezoidal Rule, Definite Integral / 6.1, 6.5, 6.2
10
Oct 16 – Oct 18 / Review Week, AP-style classwork, Benchmark Exam
2nd Mester, Week # / Topics to be covered / Book Chapter
1
Oct 19
Oct 23 – 27 / More Definite Integrals, Fundamental Theorem of Calculus, Second Fundamental Theorem of Calculus / 6.3, 6.4
2
Oct 30 – Nov 3 / AP-Style Week (Riemann Sum, Related Rates, Derivative Graphs)
3 (Nov 10, Veteran’s Day)
Nov 6 – Nov 9 / Slope Field, U-substitution, Review for Next Week / 7.1, 7.2
4
Nov 13 – Nov 17 / Integral as Net Change, Area between Two Curves / 8.1, 8.2
5
Nov 27 – Dec 1 / Review Net Change and Area between Two Curves, and past lessons (After Thxgiving Break) / 8.1, 8.2
6
Dec 4 – Dec 8 / Area between Two Curves (Continued), Volumes between function and axis / 8.2, 8.3
7
Dec 11 – Dec 15 / Volumes between two curves
Volumes with Area as base / 8.3
8
Jan 9 – Jan 12 / Review Week, AP-style classwork
9 (Jan 15 – Martin Luther King Jr. Day)
Jan 16 – Jan 19 / Review Week, AP-style classwork
10
(Jan 22 – Jan 23) / Review Day, AP-style classwork, Benchmark Exam

REWARDS/CONSEQUENCES:

Ø REWARDS:

Students who exhibit appropriate behavior and meet classroom expectations will be rewarded in a variety of ways. Such rewards include verbal praise, positive phone calls, and letters home, stock points, and student of the week.

Ø CONSEQUENCES:

Students who do not follow the appropriate guidelines for behavior and whom do not meet classroom expectations will incur the following consequences in sequential order:

1. Warning (Verbal or Name on the board)

3. After class detention & parent call

4. After detention (following day) & parent call

5. Disciplinary referral to the office & parent call

Tutoring HOURS/COMMUNICATION

Tutoring:

As this is a college preparatory course it is necessary to perform at your best. Tutoring may be one of those things that will be necessary to attend if your child struggles in a certain unit. While it will not be mandatory, it will be available to all students.

Tutoring will be on TUESDAYS from 3:10pm to 4:30pm. I will leave at 4:30pm, NO EXCEPTIONS. Please do not be late.

Student/Parent/Teacher Communication:

Feel free to contact me through e-mail about any questions/concerns you may have.

The instructor reserves the right to make additions, changes, and deletions to the syllabus during the course of the year.

______

By signing this form, I acknowledge that I have read and understand everything in the syllabus.

STUDENT NAME:______

STUDENT SIGNATURE:______Date: ______

PARENT/GUARDIAN NAME:______

PARENT/GUARDIAN SIGNATURE:______Date: ______