Math 121 - Calculus I

Math 121 - Calculus I
Spring 2010

Instructor: Dr. Tai Ha
Office: Gibson 408
Phone Number: (504) 862-3429
Email: tha@tulane.edu (the best way to contact me!)
Office Hours: MWF 11:00AM - 12:00 Noon, or by appointment only (use email to set up appointments).

Designation as a Required or Elective course: Required.
Course description: This course is an introduction to Calculus, covering topics in functions; limits and derivatives; differentiation rules; applications of differentiation; and integration.
Prerequisites: high school algebra, geometry, and trigonometry.
Text: James Stewart. Calculus, early transcendentals, 6th Edition.
Topics covered: most of chapters 1-6.

Functions: representing functions, mathematical models, exponential functions and logarithms.
Limits and Derivatives: limit of functions, tangents and velocity, and derivatives.
Differentiation rules: derivatives of polynomials and exponential functions, product and quotient rules, chain rule, implicit differentiation, and higher derivatives.
Applications of Differentiation: maximum and minimum values, L'Hospital's rule, and optimization problems.
Integrals: areas and distance, definite integrals, the fundamental theorem of calculus.
Applications of Integration: areas between curves, volumes and work.

Expected outcomes from undergraduate mathematics curriculum:

Students will be able to apply appropriate mathematical tools to problems
Students will be able to create mathematical models of real world problems
Students will be able to make precise mathematical definitions and statements
Students will be able to apply rigorous mathematical reasoning to prove theorems
Students will be able to apply statistical tools to analyze data
Students will be able to communicate mathematical ideas and results.

Contribution of course to meeting the requirements of Criterion 5: (a)
Relationship of course to ABET Program Outcomes: students will have the ability to apply knowledge of mathematics, science, and engineering.

Grading: your grade will be based on the total sum of your scores on 2 mid-term tests, weekly quizzes, weekly homework, and the final.

Mid-terms: 15% each.
Quizzes: 20% in total.
Homework: 10% in total.
Final: 40%.

Mid-terms: will be given during class time. Practice exams will be available on Monday of the exam weeks. Solutions will be available after the exams. Do check your Blackboard for these.

Mid-term 1: Friday, February 26, 2010.
Practice Test 1.
Mid-term 2: Friday, April 16, 2010.
Practice Test 2.

There will be no make-ups for missed mid-terms unless there is an extreme medical reason or you notify me well ahead of time with legitimate reasons.

Calculator policy: Programmable calculators are not allowed in midterm exams and the final. Calculators of models lower or equivalent to TI-84 are recommended. Quizzes: weekly quizzes will be given during your lab time. There will be no make-ups for missed quizzes.

Homework: homework are to be handed in on weekly basis (to your lab TA). On each Friday lecture, problems to be handed in the following week will be announced.

Final exam: Friday, April 30, 2010, 8:00AM - Noon, Boggs 242.
Practice Final Exam.

Assigned Homework:
Section 1.1: 9, 24, 35, 38, 43, 54. 65, 68.
Section 1.2: 6, 13, 18, 21.
Section 1.3: 8, 18, 27, 35, 44, 53, 62.
Section 1.5: 4, 12, 21.
Section 1.6: 6, 13, 26, 37, 50, 66.
Section 2.1: 1, 3, 5, 6, 8.
Section 2.2: 5, 16, 27, 40.
Section 2.3: 8, 19, 24, 39, 48, 55, 60.
Section 2.5: 10, 18, 27, 35, 47, 50, 62.
Section 2.6: 7, 10, 25, 34, 47, 57, 64.
Section 2.7: 8, 18, 27, 36, 43, 52.
Section 2.8: 2, 19, 27, 37, 49, 54.
Section 3.1: 4, 18, 28, 39, 46, 55, 64, 77.
Section 3.2: 2, 18, 25, 36, 45, 58.
Section 3.3: 9, 14, 26, 37, 44, 51.
Section 3.4: 8, 19, 30, 47, 52, 67, 72, 84.
Section 3.5: 11, 22, 36, 50, 67.
Section 3.6: 6, 19, 24, 33, 48, 53.
Section 3.7: 9, 19, 24, 34.
Section 3.8: 8, 16, 19.
Section 3.11: 9, 18, 30, 40, 51.
Section 4.1: 11, 25, 36, 45, 58, 69.
Section 4.2: 5, 16, 25, 30.
Section 4.3: 9, 14, 28, 34, 41, 55.
Section 4.4: 1, 16, 25, 34, 47, 54, 62, 79.
Section 4.5: 2, 19, 29, 36, 45, 57, 60.
Section 4.7: 3, 16, 27, 38, 49, 55.
Section 4.8: 4, 15, 24, 33, 41.
Section 4.9: 6, 19, 26, 33, 46, 57, 61.
Section 5.1: 5, 17, 20.
Section 5.2: 9, 21, 31, 40, 58, 69, 70.
Section 5.3: 3, 24, 36, 45, 58, 72.
Section 5.4: 5, 18, 29, 38, 49, 57, 61.
Section 5.5: 3, 16, 28, 39, 46, 59, 64, 75.
Section 6.1: 4, 18, 28, 31, 42, 51.
Section 6.2: 2, 15, 25, 36, 41, 52, 63.
Section 6.3: 1, 17, 22, 31, 44.
Section 6.4: 4, 15, 20, 27.