MATH 261 Unified Calculus & Analytic Geometry I

MATH 261 IS Sec 1, University of Mississippi
[See UM Catalog for Description]

3 credit hours

Instructor Information:

Dr. Qin Zhang

Instructor name:
Dr. Qin Zhang

Instructor Information:
Ph.D., Mechanical Engineering, University of Rochester, 2008


Contact Information:

If you have questions concerning the content of the course, you may contact the instructor directly using the Email Your Instructor link in the Lessons or Content page. NOTE: Whenever sending email, please be sure to indicate your course title and number in the subject line. You can expect a response within 72 hours, although it may be longer on weekends. Many instructors reply within 24 hours.

For lesson or test administration issues, please contact the iStudy department:

The University of Mississippi
Division of Outreach and Continuing Education
P. O. Box 1848
University, MS 38677

Phone: (662) 915-7313, toll-free (877) 915-7313
Fax: (662) 915-8826

Course Description

This course covers differentiation and its applications. The content includes, but is not limited to, limits and rates of change, continuity, derivatives, derivative rules, higher derivatives, implicit differentiation, and applications of differentiation. Math 261 will prepare students for higher level calculus along with other courses and enhance critical thinking and analytical reasoning abilities.

Textbook Information:

Textbook information will be provided upon enrollment in your iStudy course.

Course Objectives:

Objectives include (but are not limited to):

  1. Compute limits, determine continuity, evaluate derivatives, conduct implicit differentiation
  2. Solve practical problems involving applications of differentiation, such as rates of change, related rates, optimization, graphing function, linear approximation, etc... 
  3. Pursue higher level calculus along with other courses and enhance critical thinking and analytical reasoning abilities.

Course Outline:

This course consists of 24 instructional modules (or lessons). Please note that the suggested Pacing Guide to complete the course in a traditional semester is written for Fall and Spring. Full summer students need to make adjustments due to the significantly shorter time period involved.


Reading Assignments

Due for Grades

Start Here

*You MUST complete the syllabus quiz as soon as you have access to your Blackboard course. This is mandatory to verify your attendance.*NOTE: you must pass the Syllabus and Orientation Quiz for the course materials to appear on the Lessons page.

Syllabus Quiz



Discussion board


Section 2.2: Definitions of Limits 
Section 2.3: Computing Limits
Section 2.4: Infinite Limits
Section 2.5: Limits at Infinity
Section 2.6: Continuity
Section 3.1: Introducing the Derivative
Section 3.2: The Derivative as a Function

MyMathLab Assignments

Course Exam 1

Covers sections in Unit 1

To be scheduled
and completed
before proceeding


Section 3.3: Rules of Differentiation
Section 3.4: Product and Quotient Rules
Section 3.5: Derivatives of Trigonometric Functions
Section 3.6: Derivatives as Rates of Change
Section 3.7: The Chain Rule

MyMathLab Assignments

Course Exam 2

Covers sections in Unit 2

To be scheduled
and completed
before proceeding


If you are a semester student, you must reach the midpoint of your course by the date specified in your information.
If you are a Flex UM student, you CANNOT WITHDRAW from this course after the lesson has been submitted.

All lesson assignments or exams needed to reach the midpoint of the course


Section 3.8: Implicit Differentiation
Section 3.9: Derivatives of Logarithmic and Exponential Functions
Section 3.10: Derivatives of Inverse Trigonometric Functions
Section 3.11: Related Rates
Section 4.7: L'Hopital's Rule

MyMathLab Assignments

Course Exam 3

Covers sections in Unit 3

To be scheduled
and completed
before proceeding


Section 4.1: Maxima and Minima
Section 4.2: Mean Value Theorem
Section 4.3: What Derivatives Tell Us
Section 4.4: Graphing Functions
Section 4.5: Optimization Problems 
Section 4.6: Linear Approximation
Section 4.9: Antiderivatives

  MyMathLab  Assignments

Course Exam 4 

Covers sections in Unit 4

To be scheduled
and completed
before proceeding

Final Exam

Comprehensive exam from all units. Ensure all work is completed and graded prior to scheduling this exam.

To be scheduled and completed to finalize credit


Grading Scale:
A 630 to 700
A− 616 to less than 630
B+ 602 to less than 616
B 560 to less than 602
B− 546 to less than 560
C+ 532 to less than 546
C 490 to less than 532
D 420 to less than 476
F Below 420

NOTE: A grade of C or better in Math 261 is required in order to take Math 262


You must submit the lessons required to take the course exam(s). Lessons required but not submitted will receive a grade of zero. For the final exam, all coursework must be submitted and graded.