Math 110, Differential Calculus

Syllabus



Course Information

Course description: MATH 110 is a two-term course in differential calculus. It covers the same calculus content as one-term differential calculus courses, but with additional material designed to strengthen essential precalculus topics. There is also an increased emphasis on proofs and problem solving.

Instructors: The instructors are Christina Koch, Fok-Shuen Leung and Mark Willoughby. The head teaching assistant is Kelly Paton. The Instructor-In-Charge is Fok-Shuen Leung.

Course website: Course information, including assignments and solutions, will be posted on your instructor's webpage.

Textbook: See the course webpage for information about the textbook.

Academic integrity: Information on academic integrity may be found in the UBC Calendar. You are responsible for understanding and following the code of academic honesty and standards.


Evaluation

Workshops: In addition to regular lectures, you are assigned to a weekly problem-solving workshop run by teaching assistants. These workshops are an integral part of the course, and attendance is mandatory. Your workshop grade, which is worth 15% of your final grade, will be based on your submitted work and attendance.

Problem sets, quizzes and assignments: There will be 18 homework assignments. Each assignment comprises a written portion and an online portion. The written portion must be handed in at the beginning of class on the due date. Note that the written portion is generally at a more advanced level than the online portion; it is not unusual to spend several days working on it. Late assignments will not be accepted. Later in the term, certain assignments may be foregone in favor of in-class quizzes. Assignments and quizzes together are worth 15% of your final grade.

Clickers We will be using iClickers in class for the rest of the school year. Students are expected to bring their clicker to each class and participate in class voting and discussion. There will be participation points based on clicker use. Points will NOT be based on correct answers in clicker votes, but simply that a vote was submitted for all questions asked in class. These participation points will be calculated into the Assignments and Quizzes portion of your grade. Your participation over the term will be equivalent to completing an extra homework assignment. I will drop the first missed class; after this, you must contact me and do 5 makeup WeBWorK problems to regain your participation points for the class you missed.

Tests and exams: On September 20, there will be an in-class Skills Test similar to the the Mathematics Department's Basic Skills Test. This is worth 5% of your final grade. If you pass, you will be granted the full 5%. If you fail, you will receive 0% but be given the opportunity to make up the 5% by doing remedial work throughout the year. This work is crucial. The mastery of basic skills is the most accurate predictor of success in this course.

There will be two 90-minute midterm tests, on October 17 and February 13, at 6:00 p.m. Each is worth 10% of your final grade.

Finally, there will be two 150-minute exams, one at the end of each term. The first is worth 20% of your final grade; and the second, 25%. The dates of these exams are to be determined.

Calculators will not be permitted on tests and exams.

Summary: Your final grade will be calculated based on the September 20 Skills Test (5%), assignments (15%), workshops (15%), midterm tests (10% each) and exams (20% for the first exam, 25% for the second).


Schedule

Week of Topic Sections Notes
January 2 The Mean Value Theorem 6.5 No workshop
January 7 Extrema 5.1 Assignment due Thursday
January 14 The First and Second Derivative Tests 5.2, 5.3 Assignment due Thursday
January 21 Concavity 5.4 Assignment due Thursday
January 28 Asymptotes 4.10, 5.5 Assignment due Thursday
February 4 Curve Sketching 5.1-5.5 Assignment due Thursday
February 11 Implicit Differentiation 4.8 No workshop, midterm on Wednesday
Reading Week
February 25 Optimization 6.1 No workshop
March 4 Optimization 6.1 Assignment due Thursday
March 11 Related Rates 6.2 Assignment due Thursday
March 18 Related Rates 6.2 Assignment due Thursday
March 25 Approximations 6.4 Assignment due Thursday
April 1 Review
Exams



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