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Northern Virginia Community College

Calculus & Analytical Geometry I, MTH 263

 

Course Description (from the College): 

Presents concepts of limits, derivatives, differentiation of various types of functions and use of differentiation rules, application of differentiation, antiderivatives, integrals and applications of integration. This is a Passport Transfer course. Lecture 4 hours. Total 4 hours per week. Prerequisite: Completion of MTH 167 or MTH 161/162 or equivalent with a grade of C or better. 4 credits

 

 

Syllabus -- in Word format

Homework

Important Dates
Exam I  --  Tuesday, June 20th  study guide/exam key
Exam II -- Tuesday, July 25th study guide/exam key key
Final Exam --  Tuesday, August 8th  study guide/exam key

more detailed schedule in the syllabus

 

Email List

via Blackboard

Announcements:

Office: online
My CSCC email: bmccall@nvcc.edu
Office hours: after class
OpenStax Calculus Textbook
MyOpenMath Course Code: 180643, enrollment key: mccall_263_summer23

 

Answer Keys

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

Notes and Examples From Class

5/30 N 6/1 N
6/6 N 6/8 N
6/13 N 6/15  N
  6/22 N
6/27 N 6/29 E
  7/6 N
7/11 N 7/13 N
7/18 N  
  7/27 N
8/1 N 8/3 N
   

 

 

Homeworks to be Turned in

in MyOpenMath or

Homework #1
Homework #2
Homework #3
Homework #4
Homework #5
Homework #6
Homework #7
Homework #8
Homework #9

 

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

 

Handouts

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

 

Excel Spreadsheets

Numerical Limits
Newton's Method
Riemann Sums (three methods)
Riemann Sums Limit (right-hand rule only)
Numerical Integration

 

 

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
Calculus Rhapsody
Free Online Math Courses
Names of the Derivatives of Position
Spring 2022

 

 
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Last updated: 2022 January 24