Course Information

Course Number: MAT 1475

Course Title: Calculus I

Course Outline: Official course outline prepared by the Mathematics Department.

Course Description: Topics include functions, limits, differentiation, tangent lines, L’Hôpital’s Rule, Fundamental Theorem of Calculus and applications.

Credits / Hours: 4

Section Number: D007

Prerequisites: MAT 1375

Textbook: Calculus, Volume 1, openstax.org, E. Herman and G. Strang. The textbook is available to download for free (pdf), view online, or a print copy is available for a small fee. To obtain the textbook click here.

Online Spaces

• OpenLab: This website will be the online home for our class. The site contains important information about the course, and will be used in various ways throughout the semester.
• WeBWorK:  Much of the homework for this class will be completed on the WeBWorK system.  You will be provided with more information in the first week of class.  To go to our class WeBWorK site click here.

In-person Location:

• N700

Faculty Information

Professor Name:

• Suman Ganguli

Office Hours/Information: For information about office hours, visit Contact Info & Communications.

Contact Information

• Email: sganguli [at] citytech.cuny.edu

Learning Outcomes

1. Solve problems related to limits and continuity.
2. Find the derivative of functions using the definition, sum rule, product rule, quotient rule, and the chain rule.
• Use the derivative of a function to find an equation for the tangent line at a point.
• Use L’Hôpital’s Rule to evaluate limits.
• Sketch the graph of functions.
• Solve optimization problems.
• Solve related rates problems.
3. Evaluate definite and indefinite integrals of polynomials, trigonometric and exponential functions.

Gen Ed Learning Outcomes

Students will be able to:

1. Understand and employ both quantitative and qualitative analysis to solve problems.
2. Employ scientific reasoning and logical thinking.
3. Communicate effectively using written and oral means.
4. Use creativity to solve problems.

Schedule

A detailed schedule of topics can be found on the Schedule page.

A = 93.0 — 100
A- = 90.0 — 92.9
B+ = 87.0 — 89.9
B = 83.0 — 86.9
B- = 80.0 — 82.9
C+ = 77.0 — 79.9
C = 70.0 — 76.9
D = 60.0 — 69.9
F = 0 — 59.9
W = withdrawal up to 12/11/20 (WF after 12/11/20)