# Calculus I

 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

Exam I: 20%
Exam II: 20%
6 Quizes: 5% each
Final: 30%

Each lesson has a corresponding reading assignment and homework problems.
The problems will not be collected.  However, it is expected that you will do the homework and check your answers in the text.  You should ask questions in class and in my office hours when you have difficulty.  If you are not careful to follow these suggestions, you will have difficulty with the quizes.

There will be eight surprise quizes given during the semester.
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.

Syllabus:  This will be updated on the webpage as the course progesses.
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