MTH 305 - 001: Functions and Calculus for Elementary/Middle School Teachers (Spring 2017)

Instructor: Aditya Viswanathan
Class Meetings: Tu Th 1:00pm - 2:20pm in Wells Hall, B 100  [Map]
Office Hours: Tu W: 2:30 - 3:30pm, Th: 12:00 - 1:00pm
and by appointment
Instructor's Office: Wells Hall, C 331  [Map]
Email: aditya@math.msu.edu
Phone: (517) 884 - 1519

You will find below the syllabus, course schedule, homework assignments and supplementary reading.

[Syllabus]

Section numbers refer to the course textbook: Calculus Connections: Mathematics for Middle school Teachers, Asma Harcharras and Dorina Mitrea, Pearson Prentice Hall, 2007, ISBN: 9780131449237

Selected examples on the worksheets below are sourced from the course textbook and from Calculus (7th edition) by Stewart.

Course Schedule and Homework Assignments

Lecture Date Topic Comments/Notes/Assignments
1 1/10 #1.1 - Sequences Read the syllabus, [Notes] [worksheet] [selected solutions]
2 1/12 #1.1 - Convergent Sequences [Notes]
1/13 Online open add period for spring semester ends (at 8pm)
3 1/17 #1.1 - Properties of Sequences [Notes] [worksheet]
4 1/19 #1.2 - Series Read #1.2 from text [HW 1] [HW 1-Key] [Notes]
5 1/24 #1.2 - Geometric Series and Convergence [Quiz 1] [Quiz 1-Key] [worksheet] [selected solutions] [Notes]
6 1/26 #1.2 - Problems on Series and Convergence HW1 due
7 1/31 Chapter 1 Review, #2.1 - Functions Read #2.1 from text
8 2/2 #2.1 - Functions [Notes] [HW 2] [HW 2-Key]
2/3 Last day to drop class with 100% tuition refund
9 2/7 #2.1 - Composite Functions Read #2.2 from text [Notes] [worksheet] [selected solutions]
10 2/9 #2.2 - Limits of Functions [Notes]
11 2/14 #2.2 - Limits of Functions HW2 due [Notes] [worksheet]
12 2/16 #2.2 - Limits of Functions - Problems [Quiz 2] [Quiz 2-Key]
13 2/21 Exam review [Review problems] [Selected solutions]
M 2/23 Mid-term exam (in class) [Exam] [Formula Sheet] [Solutions]
14 2/28 #2.3 - Continuity Read #2.3 from text [Notes] [worksheet] [Selected solutions]
3/1 Last day to drop class with no grade reported
15 3/2 #2.3 - Continuity (contd.!!!) [Notes]
Spring Break 3/7 No class
Spring Break 3/9 No class
16 3/14 #3.1 - Average Rates of Change Read #3.1 from text [Notes] [worksheet] [selected solutions]
17 3/16 #3.2 - Instantaneous Rates of Change and Slopes of Graphs Read #3.2 from text [HW3] [HW 3-Key]
18 3/21 #3.3 - Motion and Derivatives Read #3.3 from text [Notes] [Exercise] [Quiz 3] [Quiz 3-Key]
19 3/23 #3.4 - Rules for Computing Derivatives Read #3.4 from text; HW3 due [Notes]
20 3/28 #3.5 - Chain Rule Read #3.5 from text [worksheet] [selected solutions] [Notes]
21 3/30 #3.5 - More Chain Rule + Problems [HW4] [HW5] [Data File for HW5]
22 4/4 Applications of Derivatives Optimization Worksheet (Surface areas/volumes) [Quiz 4] [Quiz 4-Key]
23 4/6 Computer Lab (based on Calculus Labs by M. Iwen/W. Wong) HW4 due [Computer Lab Instructions 1] [Computer Lab Instructions 2] [Computer Lab File] [Computer Lab - Outline]
24 4/11 Discuss HW5
25 4/13 #5.1 Integration (Indefinite Integrals) [Notes]
26 4/18 #5.2 Definite Integrals HW5 due [HW6] [HW 6-Key] [worksheet] [selected solutions] [Notes]
27 4/20 #5.3 Techniques of Integration Quiz 5, Definite Integrals in Environmental Science Lab/Worksheet [Notes]
28 4/25 Applications of Integration HW6 due [worksheet] [selected solutions]
29 4/27 Final Exam Review [Review problems] [Selected solutions]
Final Exam Monday, 5/1 Final Exam (in Wells Hall, B 100) from 12:45-2:45pm [Formula Sheet]