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previous -- view my teaching portfolio here

Calculus & Analytical Geometry I, Math 1151

Course Description (from the College): 

This course provides and introduction to differential calculus. Topics presented include functions, limits, continuity, derivatives, differentiation rules, derivatives of the trigonometric, exponential, and logarithmic functions, related rates, extrema, curve sketching, and optimization. Course also introduces integral calculus: antiderivatives, definite integral, Riemann sums, area under a curve, Fundamental Theorem of Calculus, numerical integration, integration by substitution, and derivatives and integrals of inverse trigonometric, hyperbolic, and inverse hyperbolic functions. Applications to problems in science and engineering are highlighted. Sections of this course are H-designated Honors classes. Lecture: 5 hours Prerequisite: MATH 1149 or MATH 1150; minimum grade of “C”

Syllabus -- in Word format

Homework

Important Dates
Exam I  --  Monday, September 22nd  study guide/exam key
Exam II -- Wednesday, October 22nd study guide/exam key
Exam III -- Monday, November 24th study guide/exam key
Final Exam --  Wednesday, December 8th at 2:00 p.m. study guide/exam key

more detailed schedule in the syllabus

 

Email List

via Blackboard

Grade Calculator -- javascript online grade calculator

Announcements:

Office: DH 448
My CSCC email: bmccall2@cscc.edu
Office hours: TR 4-6, MW 5-6
MML Course Code: mccall90844 or MCCALL90844

Answer Keys

Quiz #1 -- key
Quiz #2 -- key
Quiz #3 -- key
Quiz #4 -- key
Quiz #5 -- key
Quiz #6 -- key
Quiz #7 -- key
Quiz #8 -- key
Quiz #9 -- key
Quiz #10 -- key
Quiz #11 -- key
Quiz #12 -- key
Quiz #13 -- key
Quiz #14 -- key
Quiz #15 -- key
Quiz #16 -- key

Chapter Review Quizzes are also in MML: on Chapters 1, 2, 3, 4, 5, Misc Sections.  There are two attempts at these quizzes and they are timed to 60 minutes.

Homeworks to be Turned in

Most of the homework problems will be done in MML. You will have 5 tries at each problem, and you will need to get 80% on the homeworks to take the Chapter Review Quizzes (which are part of the course grade and also due Sunday when assigned).  Homeworks are generally due Sunday night for material covered the previous week, however, watch for changes to this pattern if exams fall on a Wednesday.  You may work MML homework 5 days after the deadline (until Friday) for a 10% penalty on late problems per day.  You can't lose any points you earned before that, but if you need tutoring for specific problems, you can still boost your score by doing more, though not for full credit.  Some sections are omitted from or reduced in MML and paper-based assignments will be substituted for these problems as MML is good for some things, and really bad for some other things.

Paper Homeworks

Definition of a Limit
Limit Definition of a Derivative
Chain Rule
Implicit Differentiation
Logarithmic Differentiation
Graphing of Derivatives
Curve Sketching
Riemann Sums
Mathematical Induction
Substitution/Change of Variable
Simpson's Rule
Newton's Method Excel

Suggested Homework

Homework #0 (151 Pre-course review)
for textbook problems, see syllabus
Application Exercises for Chapter 5
Homework #1 (151)
Homework #2 (151)
Homework #3 (151)
Homework #4 (151)
Homework #5 (151)
Homework #1 (152)

Handouts

Definite Integrals
Riemann Sums Methods answers/key
U-Substitution
Writing Proofs

Proofs

Complete Set of Limit Proofs
Complete Set of Continuity Proofs 
Alternate Form of the Derivative
*3.3 Power Rule
*3.6 & 3.7 Sine, Cosine and Exponential Derivatives
*3.8 & 3.9 Product Rule & Quotient Rule
*3.11 & 3.12 Chain Rule & General Power Rule
*3.18 Derivatives of Inverse Trig Functions
Complete Set of All Derivative Rules
*4.2 Extrema
*4.3 & 4.4 Rolle's Theorem & Mean Value Theorem
*4.5-4.9 First & Second Derivative Tests
*5.1 Anti-Derivatives
Antiderivatives 5.1
Summation Formula 5.2.2 (by Mathematical Induction)
Fundamental Theorem of Calculus (5.9)
Mean Value Theorem for Integrals (5.10)
The Second Fundamental Theorem of Calculus (5.11)
Integration of Even and Odd Functions (5.15)
Integral of p(x) = Ax² + Bx + C (5.17)
Trapezoidal Rule (5.16)
Simpson's Rule (5.18)
Hyperbolic Trig Functions: Derivatives & Integrals (cosh(x)) (5.22)

*References to sections or proof numbers refer to an old textbook

Links

PDF Graph Paper
How to Write Greek Letters
I Will Derive song
Free Online Math Courses
Fall Quarter 2008 (Math 151)
Spring Quarter 2008 (Math 152)
Spring Quarter 2010 (Math 152)
Winter Quarter 2011 (Math 152)
Fall 2011 (Math 152)