| 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 Canvas
Homework
Important Dates
Exam I --
Tuesday, June 20th study
guide/exam key
Exam II -- Tuesday, July 25th study
guide/exam 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:
xxx, enrollment key:
xxx
Answer
Keys
Notes and Examples From Class
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
Summer 2023 |
