AcademicsElementary Math Learning System
Instructor: Matt Ollis, Sci 218, email@example.com
Timetable: TuTh 10.00 - 11.20 Sci A117
Course Outline: The Elementary Math Learning System (EMLS) is divided into 42 units, each unit covering one mathematical topic. Topics range from factoring equations to manipulating logarithms to working on word problems. It is up to you how many (or how few) of the units you take. Details for each unit are below. When choosing units your aim should be to fill in any gaps in your mathematical training, and on completion of the course you should be able to satisfy the math prerequisites for any introductory math or science course.
Each unit will occupy one timetabled session. Prior to the session you should have read the material on the web and attempted the exercises therein. During the session we will talk about the material and work on the problems. There will be a short quiz at the end of each session and a homework sheet with further questions of similar standard and style to those in the course material will be given out. Your answers to the homework sheet should be handed in no later than noon, one week after the session. After each set of seven sessions there will be a round-up session to consolidate what we have learned so far, and a homework on recent units will be distributed (the questions on this homework will have topic indicators - you only have to complete the questions related to topics you have taken).
Spring Semester: The first session of the spring semester will be devoted to a review of the most important topics of the fall semester. If you are continuing from the fall semester, you should recap the parts of last semester's work which you found the most difficult. If you are newly joining the EMLS you should look through the websites for last semester's topics (below) and see which, if any, of these topics you need to work on.
Grades: Your final grade is calculated as follows: 30% in-class quizzes; 50% homeworks; 20% round-up sessions.
Quizzes and Homeworks: The in-class quiz will be marked and returned in the following session. Once you have received your marked quiz, you should attempt the homework and hand it in at the subsequent session (i.e. one week after the topic was covered).
Office hours: TBA
Tutoring: Julie Shumway (firstname.lastname@example.org)
1. 7th Sept. Arithmetic of fractions and real numbers
2. 9th Sept. Arithmetic of exponents
3. 14th Sept. Simplifying and factoring expressions
4. 16th Sept. Adding and multiplying polynomials
5. 21st Sept. Factoring polynomials
6. 23rd Sept. Linear equations
8. 30th Sept. Quadratic equations
9. 5th Oct. Complex numbers and complex solutions
R1. 7th Oct. Round-up session for units 1-7.
10. 12th Oct. Linear inequalities
11. 14th Oct. Inequalities involving absolute values
12. 21st Oct. Word problems 1
13. 26th Oct. Angles: degrees vs. radians
14. 28th Oct. Trigonometry
15. 2nd Nov. Polynomial equations
16. 4th Nov. Polynomial fractions
R2. 9th Nov. Round-up session for units 8-14
17. 11th Nov. Division of polynomials
18. 16th Nov. Solving polynomial equations
19. 18th Nov. Word problems 2
20. 23rd Nov. Rational equations
21. 30th Nov. Word problems 3
!!! 2nd Dec. Day off!
R3. 7th Dec. Round-up session for 15-21
22. 20th Jan. Semester Introduction (see above).
23. 25th Jan. Functions
24. 27th Jan. The Cartesian co-ordinate system
25. 1st Feb. Graphing linear functions
26. 3rd Feb. Graphing quadratic functions
27. 8th Feb. Units of conversion
28. 10th Feb. Word Problems 4
29. 15th Feb. Logarithms
30. 17th Feb. Applications of logarithms
R4. 22nd Feb. Round-up session for units 22-28
31. 24th Feb. Systems of linear equations
!!! 1st Mar. Vermont Town Meeting Day - no class
32. 3rd Mar. Systems of linear inequalities
!!! 6th Mar. No class
33. 8th Mar. More about trigonometric functions
34. 29th Mar. Graphing trigonometric functions
35. 31st Mar. Triangles, areas and volumes
36. 5th Apr. Set theory
37. 7th Apr. Counting
R5. 12th Apr. Round-up session for units 29-35
38. 14th Apr. Probability
39. 19th Apr. Statistics 1: Data
40. 21stApr. Statistics 2: The normal distribution
41. 26th Apr. Statistics 3: Estimation
42. 28th Apr. Statistics 4: Hypothesis testing
R6. 3rd May. Round-up session for units 36-42