Math 125 - Section 016 - Fall 2015

Class Policy:
The class policy is posted here.
It contains all the information about homework, exams, grades, add/drop,
class rules, calculators, office hours etc.

Please read and understand the Class Policy. If you have questions, let me know.

Announcements:
I will closely follow this plan.
I will also post what material was covered in class here after each lecture.

Lecture 1: Functions (definition, examples), linear functions, proportionality, exponential functions (Sections 1.1 and 1.2)
Lecture 2: Stretching, shrinking, shifting of functions, symmetries (even and odd), inverse functions, logarithm (Sections 1.3 and 1.4)
Lecture 3: Trigonometric functions (Section 1.5)
Lecture 4: Power functions, polynomials, rational functions, asymptotes, intro to continuity (Sections 1.6 and 1.7)
Lecture 5: Limits - definition, properties. Continuity. (Section 1.8)
Lecture 6: Instantaneous and average velocity, speed, the derivative at a point. (Sections 2.1 and 2.2)
Lecture 7: The derivative function and its practical interpretation. (Sections 2.3 and 2.4)
Lecture 8: The second derivative and differentiability (Sections 2.5 and 2.6)
Lecture 9: Tricks and rules to take derivatives fast, derivative of the exponential function (Sections 3.1 and 3.2)
Lecture 10: Exam 1
Lecture 11: Product and quotient rules (Section 3.3)
Lecture 12: Chain rule (Section 3.4)
Lecture 13: Derivatives of trigonometric functions, chain rule for inverse functions (Sections 3.5 and 3.6)
Lecture 14: Implicit functions and derivatives of hyperbolic functions (Sections 3.7 and 3.8)
Lecture 15: Linear approximation and some theorems (Sections 3.9 and 3.10)
Lecture 16: Using first and second derivatives to find local minima and maxima and inflection points (Section 4.1)
Lecture 17: Global optimization (Section 4.2)
Lecture 18: Modeling by optimization (Section 4.3)
Lecture 19: Exam 2
Lecture 20: Families of Functions (Section 4.4)
Lecture 21: Using derivatives/rates and related rates (Section 4.6)
Lecture 22: L'Hopital's rule for evaluating limits (Section 4.7)
Lecture 23: How to measure distance traveled and the definite integral (Sections 5.1 and 5.2)
Lecture 24: Fundamental theorem of calculus and applications (Section 5.3)
Lecture 26: Theorems about definite integrals (Section 5.4)
Lecture 26: Constructing antiderivatives graphically, numerically, and anlytically, differential equations and equations of motion (Sections 6.1, 6.2, 6.3)
Lecture 27: Proof and applications of the 2nd fundamental theorem of calculus (Section 6.4)
Lecture 28: Integration by substituion (Section 7.1)
Lecture 29: Review

Homework:
Homework is assigned via Webassign (see Class Policy for information about how to get WebAssign).
The due dates for the WebbAssign homework are also on Webassign.
You can find some information about WebAssign here.

Additionally, there will be handwritten homework sets.
I will announce these in class, then post them on this website and/or on Webassign.
It is your responsibility to check for the additional handwritten homework.
The due date is written on each homework set.
The handwritten homework is due in class, before class starts.
I recommend that you do more handwritten problems.
You can find additional problems here.

Handwritten homework
Handwritten HW Set 1 -- posted 8/24, due 9/1, Problems: 1.1 - 36, 1.2 - 36, 1.3 - 10, 1.4 - 12
Handwritten HW Set 2 -- posted 8/31, due 9/8, Problems: 1.5 - 34, 1.6 - 48, 1.7 - 37
Handwritten HW Set 3 -- posted 9/7, due 9/15, Problems: 1.8 - 68, 2.1 - 28, 2.2 - 12
Handwritten HW Set 4 -- posted 9/14, due 9/22, Problems: 2.3 - 43, 2.4 - 28, 2.5 - 29, 2.6 - 12
Handwritten HW Set 5 -- posted 9/22, due 9/29, Problems: 2.5 - 6, 2.6 - 8, 3.1 - 66, 3.2 - 46
Handwritten HW Set 6 -- posted 9/28, due 10/6, Problems: 3.3 - 46 and 52, 3.4 - 68 and 91
Handwritten HW Set 7 -- posted 10/3, due 10/13, Problems: 3.5 - 59, 3.6 - 43, 3.7 - 29, 3.8 - 26
Handwritten HW Set 8 -- posted 10/12, due 10/20, Problems: 3.9 - 23, 3.10 - 35, 4.1 - 50, 56
Handwritten HW Set 9 -- posted 10/19, due 10/29, Problems: 4.2 - 38, 4.3 - 19
Handwritten HW Set 10 -- posted 10/26, due 11/10, Problems: 4.4 - 30, 36
Handwritten HW Set 11 -- posted 11/1, due 11/10, Problems: 4.6 - 44, 4.7 - 46
Handwritten HW Set 12 -- posted 11/9, due 11/17, Problems: 5.1 - 25, 5.2 - 29, 5.3 - 46
Handwritten HW Set 13 -- posted 11/16, due 11/24, Problems: 5.4 - 39, 55, 6.1 - 27, 6.2 - 58, 6.3 - 23
Handwritten HW Set 14 -- posted 11/24, due 12/01, Problems: 6.4 - 24
Handwritten HW Set 15 -- posted 12/1, due 12/8, Problems: 7.1 - 90, 125

Lecture: TuTh 9:30 -- 10:45 in Psychology, Rm 307

Instructor: Matthias Morzfeld, Email: mmo [at] math [dot] arizona [dot] edu

Office hours:
Regular office hours in S331, ENR2 -- Monday 1pm-2pm, Tuesday 11am-12noon
Tutoring in Math Lab (MTL) 121 -- Wednesday 11am-12noon

Additional information
You can find additional information on the calc-website.

Prerequisites: Appropriate Math Placement Level or Proctored/Prep for Calculus 90+ or MATH 125.

Textbook: Calculus Single Variable, Sixth Edition by Hughes-Hallett et al. published by Wiley.
The computer grading program, WebAssign, includes an electronic version of the text.

Course Description:
Math 125 is an introduction to calculus with an emphasis on understanding and problem solving.
Concepts are presented graphically and numerically as well as algebraically.
Elementary functions, their properties and uses in modeling;
the key concepts of derivative and definite integral; techniques of differentiation,
using the derivative to understand the behavior of functions;
applications to optimization problems in physics, biology and economics.