Nedjla Ougouag Faculty Page

Nedjla Ougouag, PhD

Mathematics Department, Harold Washington College

Office: HWC - 30 E. Lake - Room 702H.

MATH 207 - Calculus I

Welcome to Dr. Ougouag's Calculus I
Have a Great Semester!

ANNOUNCEMENTS (refresh screen to see latest!):

The course is based on the following textbook which is optional for you to get:
Calculus, by Stewart, 7th edition
We will NOT be using WebAssign in my sections! If you choose to purchase the textbook, you SHOULD NOT pay for the WebAssign access code that comes bundled with the book.
Get ready before we start: review some pre-Calc! Here are a few video tutorial sites that are great for practice and review:
> PreCalculus Tutorials
> Just Math Tutorials. Large collection of youtube videos on calculus and other math topics.
> Khan Academy. Many video tutorials on all Math topics.

Syllabus Math 207 (on BrightSpace)

Lectures and HW assignments are based on the following: Calculus, by Stewart (7th Edition)
Online companion website: Click here .
CCC online bookstore
Compare shop at: CheapTextbooks.
Homework Assignments : HW problems, other assignments as needed.
This file will be updated during the semester. Check it often!

Just Math Tutorials: A very helpful site!

Class Notes and Resources: (Lecture Slides, Handouts, Examples, Practice, Tool Links, Manuals, etc. These are all subject to updates as needed)

Textbook sections	Resources
Lecture Notes: Algebra Review (Reading assignment!) Introduction and Review - Section 1.1 Section 1.2 Review of Trigonometry for Math 207 (Reading assignment!) Section 1.3	Review: Comprehensive Review of Functions Read! Review: The Unit Circle. Reminder of Trig function values at specific angles. Review: Trig. Summary cheat sheet Tutorial and Practice: Reminder: How to solve trig equations. Check this out! Curve of forgetting
Sections 1.4 and 1.5	Tutorial: Rates of Change and Tangent Lines Video: Using Limits and Average Velocities to Find Instantaneous Velocities Video: Introduction to Limits Video: One Sided Limits Video: Infinite Limits Video: Limits at Infinity
Section 1.6	Techniques for finding limits: Summary. Practice: Computing Limits Video: Practice finding limits of functions
Section 1.8	Tutorial and practice: Continuity
Section 2.1 Section 2.2	Tutorial and practice: Interpretation of the Derivative.
Sections 2.3 and 2.4	Tutorial and practice: Differentiation Formulas. Tutorial and practice: Derivatives of Trig Functions. Handout: Derivative Rules cheat sheet
Sections 2.5 and 2.6	Additional Practice: Chain Rule --- Answers. Additional Practice: Implicit Differentiation --- Answers. Tutorial and practice: Chain Rule. Tutorial and practice: Implicit Differentiation.
Sections 2.7 and 2.8	Tutorial and practice: Rates of Change. Tutorial and practice: Related Rates. Video: Related Rates: the Draining Tank Problem. Related Rates Problems (with answers!)
Section 2.9
Sections 3.1 and 3.2	Tutorial and practice: Critical Points. Tutorial and practice: Min and Max Values. Tutorial and practice: Mean Value Theorem.
Lecture Notes: Section 3.3 lecture slides	Tutorial and practice: Shape of the Graph and the First Derivative. Tutorial and practice: Shape of the Graph and the Second Derivative.
Section 3.4	Tutorial and practice: Limits at Infinity.
Sections 3.5, 3.7 and 3.9	Handout: Guidelines for solving Optimization problems Optimization Problems (with answers!)
Section 4.2
Sections 4.3, 4.4 and 4.5	More practice with solutions here!
Section 5.1	Calculus Facts: Flashcards - on web or print for yourself Trigonometry Facts: Flashcards - on web or print for yourself
Lecture Notes: Conic Sections	Video: Introduction to Conic Section. Video: Conic Section Formulas - Concepts. Handout: Conic Sections - handout 1 Handout: Conic Sections - handout 2 More Conic Section Practice problems!