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 |
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.
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