Math160: Calculus for Physical Scientists I (Section 6)

MTWF 3:00-3:50, Engineering E103

Announcements | Lectures, Handouts, and Homework | Exams | Additional Resources

Instructor: Daniel Reinholz, Weber 132
Office Hours: M 10-11, T 1-3, F 11-12
Email: reinholz {at} math {dot} colostate {dot} edu

Announcements:

Lectures, Handouts, and Homework:

Guidelines for turning in assignments: Please be sure to staple and remove fringes from the assignments you had in. Otherwise they will not be accepted/graded. Write your name and the name of the assignment on the top right corner on the front page of your assignment. Before turning your paper in, fold your paper in half, and write your name on the back. This will facilitate returning assignments. Fold your paper according to the following guideline: if the page is sitting on a table in front of you face up, take the top left corner and fold it to the top right corner. Fold the rest of the page and crease. This will create a longish folded piece of paper, with the fold on the left, and the staple on the top right.

Unless otherwise noted, each homework assignment will be due in the class period following the day it was assigned (ie. homework assigned on Tuesday January 22 is due on Wednesday January 23 - the next class period). If you know you are going to be absent, work ahead and turn the homework in before it is due. Late homework will not be accepted.

DateLectures and HandoutsHomework Problems Assigned
Friday 5/16 Final Exam 7:00-9:00 am
Friday 5/09 review
Wednesday 5/07 review
Tuesday 5/06 review
Monday 5/05 review
Friday 5/02 Work § 6.6: 2, 4, 8, 10, 16 (skip d), 22
Wednesday 4/30 Moments and Centers of Mass § 6.4: 6, 8, 10, 12
Tuesday 4/29 Lengths of Plane Curves § 6.3: 10, 14, 18, 20, 28
Monday 4/28 -
Friday 4/25 Finding Volumes Using Cylindrical Slabs § 6.1: 2, 4, 10, 14, 16, 20, 32, 38
due Tuesday
Wednesday 4/23 Substitution for Definite Integrals
Finding the Area Between Curves
§ 5.6: 6, 20, 26, 29, 32, 35, 38, 42, 52
Tuesday 4/22 Integration By Substitution § 5.5: 4, 12, 14, 18, 20, 22, 26, 36, 42, 48
Monday 4/21 Differentials
4/14-4/18 Exam Week : ( -
Friday 4/11 Definite Integrals
Average Values
§ 5.3: 52, 54, 60, 66, 74
Wednesday 4/09 The Fundamental Theorem of Calculus § 5.4: 4, 8, 14, 28, 44, 48, 50, 60
Riemann Integration take home quiz
Quiz due Friday
Tuesday 4/08 Area § 5.1: 2, 4, 6
§ 5.2: 2, 6, 8, 10, 14, 18, 20, 30
Monday 4/07 Euler's Method § 5.1: 10, 11, 12, 14 (find the velocity at one second intervals), 20,
The Fundamental Theorem of Calculus
Lab due Monday 4/14
Friday 4/04 Differential Equations § 4.8: 66, 68, 72, 82, 88, 90, 94, 98
Riemann Sums
Lab due 4/11
Wednesday 4/02 Indefinite Integrals § 4.8: 18, 20, 28, 36, 38, 42, 57, 62
Tuesday 4/01 Newton's Method § 4.7: 8, 10, 16, 18, 25, 28
Monday 3/31 l'Hôpital's Rule § 4.6: 6, 8, 10, 14, 18, 24, 32
Newton's Method
Lab due Monday 4/7
Friday 3/28 Optimization § 4.5: 7, 16, 20, 32, 34, 44, 52, 56 (hint: use the fact that cos(2x) = 2cos(x)*cos(x) - 1)
Wednesday 3/26 - -
Tuesday 3/25 Curve Sketching § 4.4: 10, 20, 24, 44, 62, 66, 70
Due Friday
Monday 3/24 The Mean Value Theorem § 4.2: 6, 10, 12 (need not generalize), 24, 38, 46, 52, 56 (hint: begin by defining k(x) = f(x)-g(x). If you apply the mean value theorem to k(x), what does it tell you?)
3/17-3/21 Spring Break (YaY!) -
Friday 3/14 no class
Wednesday 3/12 review -
Tuesday 3/11 review -
Monday 3/10 Summary of Topics for Exam 2 -
Friday 3/07 - § 4.3: 2, 4, 10, 14, 24, 30, 32, 38, 42
Wednesday 3/05 Global and Local Extrema § 4.1: 2, 4, 10, 12, 14, 18, 20, 28, 34, 38
Tuesday 3/04 Related Rates
Strategy for Solving Related Rates Problems
§ 3.7: 4, 6, 10, 12, 13, 14, 24, 30, 34
Monday 3/03 Implicit Differentiation § 3.6: 22, 24, 26, 28, 32, 38, 48, 56
Friday 2/29 -
Wednesday 2/27 The Chain Rule § 3.5: 10, 14, 20, 22, 32, 34, 42, 48, 50, 60cd, 66a, 104
Due Monday
Tuesday 2/26 - Differentiation Formulas from Graphs
Due Tuesday, 3/04
Monday 2/25 Derivatives of Trigonometric Functions § 3.4: 4, 6, 10, 15, 16, 26, 40, 44, 48, 58abc
Due Wednesday
Friday 2/22 Problem Day 1! - Problems (Solutions) § 3.3: 2, 6, 8, 12, 16, 18, 26
Wednesday 2/20 Derivatives of Products and Quotients
Tuesday 2/19 Derivatives of Sums, Products, and Polynomials § 3.2: 10, 12, 16, 18, 24, 26, 36, 42, 56
Due Friday, 2/22 (See homework guidelines)
Understanding the Derivative
Due Tuesday 2/26
Monday 2/18 Derivatives - at long last § 3.1: 2, 4, 8, 10, 12, 14, 18, 20, 28, 30, 32a, 42
Friday 2/15 no class -
Wednesday 2/13 Even more review! -
Tuesday 2/12 - -
Monday 2/11 - -
Friday 2/8 Derivatives and Tangents
Nondifferentiable Points
§ 2.7: 2, 4, 8, 12, 14, 16, 18, 20, 22, 28, 30, 32
Due Tuesday, 2/12
Wednesday 2/6 - -
Tuesday 2/5 Continuity § 2.6: 2, 6, 14, 18, 20, 26, 30, 36, 38, 40, 44, 46, 48, 54
Due Friday
Making the Idea of the Limit Precise
Due Tuesday, 2/12
Monday 2/4 Infinite Limits § 2.5: 8, 18, 22, 28, 30 (don't need to include dominant terms for 28 and 30), 42, 48
Friday 2/1 Limits at Infinity § 2.4: 38, 46, 48, 52, 58, 64, 68, 69, 76
Wednesday 1/30 One Sided Limits § 2.4: 2, 4, 6, 8, 10, 12, 14, 16, 18
Tuesday 1/29 - -
Monday 1/28 The Precise Definition of a Limit § 2.3: 16, 22, 30, 34, 36, 38, 40, 42, 45, 49 and
extra problems
Due: Wednesday 1/30 in class
Numerical Investigation of Limits
Due: February 4, in class
Friday 1/25 Limits § 2.2: 4, 10, 12, 18, 24, 28, 34, 44, 52, 56
Wednesday 1/23 Rates of Change § 2.1: 2, 4, 6, 9, 12, 17, 30, 36
Tuesday 1/22 Solving Algebraic Equations
Syllabus
Mathematical Background Survey
§ 1.1: 3aceg, 9, 19, 34
§ 1.2: 19, 27, 47, 57, 65, 86.
§ 1.3: 9, 25, 30a, 39 (hint: V = 1/3*pi*r^2*h)
Complete the Mathematical Background Survey
Read sections 1.4-1.7 and algebra review.

Exams:

Following are some exams from previous semesters. Use them as practice for this semester's exam, but understand that they are not prototypes for this semester's exam!

Exam 1: Information    (Study Guide)

Exam 2: Information    (Study Guide) Note that 4.2 (mean value theorem) will not be on the exam.

Exam 3: Information    (Study Guide)    (Study Guide 2)

Final Exam: Information

Additional Resources: