Calculus I, MAT 175, 4 credits
Section 81: 207 Gillet Hall Tuesday Thursday 6:00-7:40pm Prerequisite: MAT 172
Corequisite: MAT 155
Text: Stewart,
Course Webpage: select Calculus I
from my webpage. |
Professor C. Sormani
Office Hours: 5:30-6:00pm TuTh
9:30-10:00pm TuTh Office: Gillet Hall 200B
Email: sormanic@member.ams.org
Phone: 718-960-7422
Webpage:
http://comet.lehman.cuny.edu/sormani |

Each lesson has a corresponding

The problems will not be collected. However, it is expected that you will do the homework and

There will be

A missed quiz counts as a zero but the lowest 2 quiz scors will be dropped.

There will be **two exams **given in class. The first will
be given on
**Tuesday March 3 **and the second on **Thursday April 6.**
The best way

to prepare for the exams is to review your class notes, the corresponding

chapters in the textbook and practice problems without consulting your

notes. Always **start studying at least 4 days before the exam
**and bring

questions to the review class.

The **final exam **will be similar to the exams, emphasizing the
material

learned after the second exam but covering the rest of the semester
as well.

Be sure to review your old exams before taking the final.

All numbers refer to sections in the textbook. Homework will be

announced in class.

Tuesday 1/1:

Zeno's Paradoxes pp 6-7

Functions, all of 1.1

Thursday 1/3:

Composition of functions, pp22-23, all of 1.2,

Inverse Functions, Domain and Range, all of 1.6

Tuesday 2/8:

Tangents, 2.1 Example 1,

Limits, all of 2.2,

Thursday 2/10:

Limit laws, all of 2.3,

Continuity, all of 2.4,

Tuesday(2/15):

NO CLASS FRIDAY SCHEDULE

Thursday(2/17)

Velocity, 2.1 example 2

all of 2.6

Tuesday(2/22)

Derivatives, all of 2.7

Thursday(2/24)

Derivatives as a function, all of 2.8

Tuesday(2/29)

Linear approximation, all of 2.9

Thursday(3/2)

all of 2.10: f' back to f

review for exam I

Tuesday(3/7)

exam I (2.1-2.4, 2.6-2.9)

Thursday(3/9)

3.1 Derivatives of polynomials,

exponentials and e

Tuesday(3/14)

3.2 product and quotient rules

3.3 example 1, position and velocity

Thursday(3/16)

3.4 derivatives of trig functions

Tuesday(3/21)

3.5 chain rule

Thursday(3/23)

3.6 implicit differentiation

Tuesday(3/28)

3.7 logarithmic functions

Thursday(3/30)

3.8 linear approximations

and differentials

Tuesday(4/4)

review for exam II (3.1, 3.2, 3.3 (ex 1) 3.4-3.7)

also defn of derivative with limits

Thursday(4/6)

exam II

extra credit: read related rates 4.1

Tuesday(4/11)

4.2 finding maximums

Thursday(4/13)

4.3 derivatives and shapes of curves

4.4 graphing (also catchup)

Tuesday(4/18)

4.6 optimization

Example 2 p 312

SPRING BREAK

Tuesday(5/2)

4.9 antiderivatives

Thursday(5/4)

5.1 areas and distances

Tuesday(5/9)

5.2 definite integral

5.4 fundamental theorem of calculus

Thursday(5/11)

5.3 evaluating integrals

Tuesday(5/16)

review of limits and definition of derivative

4.5 L'hopitals rule

Thursday(5/18)

review for final

Final: May 23, 6:15-8:15 pm

recognizing limits and continuity on a graph

calculating deriv from defn and taking limits

chain, product and quotient rules

tangent lines, increasing, concavity

max/min problems with a constraint

velocity and antiderivatives

fundamental theorem of calc