**Math 175, Spring semester 2019**

**Calculus II**

Instructors:

- Section 1:
**Josh Parker**(email__joshuaparker@uidaho.edu__) - MF
8:30-9:20 in TLC 222; TR 8:00-8:50 in TLC 122
- Office:
Brink B4
- Office
Hours: Mon 10:30 – 11:20 and Thurs 9:00 - 9:50
*WebAssign**Class Key*: uidaho 1212 2014- Section 2:
**Deanna Vining**(email dvining@uidaho.edu) - MTRF
9:30-10:20 in TLC 041
- Office:
Brink B4
- Office
Hours: Tues 10:30-11:30 and Wed 9:00-10:00
*WebAssign**Class Key*: uidaho 9698 5856- Section 3:
**Irene Ogidan**(email oogidan@uidaho.edu) - MTRF
12:30-1:20 in TLC 022
- Office:
Brink B18
- Office
Hours: Tues 11:30-12:20 and Thurs 1:30 - 2:20
*WebAssign**Class Key*: uidaho 7398 0421- Section 4:
**Lucas Everham**(email leverham@uidaho.edu) - MF
2:30-3:20 in TLC 022; TR: 2:00-2:50 in TLC 122
- Office:
Brink G7
- Office
Hours: Tues and Thurs 12:30 - 1:30
*WebAssign**Class Key*: uidaho 0557 6198

Math 175 supervisor: Stefan Tohaneanu (email __tohaneanu@uidaho.edu__)

- Help
sessions: Monday 1:30 - 2:20 in TLC 147

·
Syllabus with
tentative schedule of lectures here.

·
WebAssign
(for online HW) enrollment here. Use the Class Key corresponding to your
section (see above). Documentation on student registration here.

·
Semester Exams
Schedule:

1.
EXAM 1 on Tuesday, January 29, 2019, 7:00pm -
8:00pm

2.
EXAM 2 on Tuesday, February 19, 2019, 7:00pm –
8:00pm

3.
EXAM 3 on Tuesday, March 19, 2019, 7:00pm – 8:00pm

4.
EXAM 4 on Monday, April 15, 2019, 7:00pm – 8:00pm

The exams will take place in the following classrooms:

Section 1 in *TLC 222*

Section 2 in *TLC 041*

Section 3 in *TLC 022*

Section 4 in *TLC 122*

·
FINAL EXAM is scheduled for *Wednesday,
May 8, 2019, 7:00pm – 9:00pm in *

Section 01 in TLC 222

Section 02 in TLC 046

Section 03 in TLC 022

Section 04 in TLC 028

__COURSE
MATERIALS__

Approved integrals table sheet is here.

Series facts sheet is here.

·
EXAM 1

o
__Material
covered__:

·
Evaluate values of inverse trigonometric functions. (Section 6.6)

·
Calculate derivatives and basic simple integrals involving
inverse trigonometric functions. (Section 6.6)

·
Evaluate limits of expressions having indeterminate forms
(0/0, infinity/infinity, 0*infinity, 1^(infinity),
etc.) using L'Hopital's rule. (Section 6.8)

·
Evaluate integrals using integration by parts. (Section 7.1)

·
Evaluate integrals using partial fractions (Section 7.4). Remember these three cases:

Ø Non-repeated linear
factors in the denominator.

Ø A denominator with
all linear factors, but some repeated.

Ø A denominator that
includes an irreducible quadratic term.

o
__Past
exams__: Exam 1 Fall 2017, Exam 1 Fall 2018, Exam 1 Spring 2019

o
__Practice
exercises__: Practice problems for Exam 1 with solutions.

o
**Note**: Due to change of textbook, partial fractions (Section 7.4) is taught *before* trigonometric integrals (Section
7.2) and trigonometric substitution (Section
7.3). For *exercises
with partial fractions*** **relevant
to Exam 1, please check below the past Exams 2, and the practice problems for
Exam 2.

·
EXAM 2

o
__Material
covered__:

·
Evaluate the following types of trigonometric integrals (Section 7.2). Each has a procedure that will work...

Ø Integrals with sines
and cosines that include an odd power of one or the other.

Ø Integrals with even
powers of sines and cosines.

Ø Integrals with secants
and tangents (or cosecants and cotangents) that include an even power of
secants (or cosecants).

Ø Integrals with
secants and tangents (or cosecants and cotangents) that include an odd power of
tangents (or cotangents).

Ø **Note**: Integrals that have an odd power of secants and an even
power of tangents are *hard*. They can
be done using the reduction formulae -- but they will *not* be included on this exam.

·
Evaluate an integral using an appropriate trigonometric
substitution. (Section
7.3)

·
Be able to choose and apply an appropriate integration
strategy (or combination of strategies) for a given integral. (Section 7.5)

·
Use the midpoint rule and trapezoid rule to give a numerical
estimate of a definite integral. (**Note**:
while we also discussed Simpson's rule, it will *not* be included on the exam.) (Section 7.7)

·
Set up an improper integral as a limit of a definite integral
and then evaluate it. (Section
7.8)

o
__Past
exams__: __Exam 2 Fall 2017__, Exam 2 Fall 2018, Exam 2 Spring 2019

o
__Practice
exercises__: __Practice problems for Exam 2__ with solutions.

·
EXAM 3

o
__Material
covered__:

·
Evaluate the limit of a sequence, or show that the limit does
not exist. In particular, be able to use the "Squeeze Theorem" to
show that a sequence converges. (Section 11.1)

·
Be able to write formula for the *n*th term of a
given sequence. (Section
11.1)

·
Understand the relationship between an infinite series and the
sequence of its partial sums. Be able to describe what it means for series to
converge (in terms of the sequence of partial sums). (Section 11.2)

·
Calculate the sum of geometric series (or determine that the
series diverges). (Section
11.2)

·
Calculate the sum of a "telescoping" series. (Section 11.2, page 752)

·
Be able to
appropriately use the following convergence tests for series:

Ø Divergence Test (Section 11.2)

Ø Integral Test (Section 11.3)

Ø Ratio Test (Section 11.6)

Ø Root Test (Section 11.6)

Ø Comparison Test (Section 11.4)

Ø Limit Comparison
Test (Section 11.4)

Ø Alternating Series
Test (Section 11.5)

**Note:** You will be able to use the sheet of series facts.

·
Given an infinite series, be able to choose what test is
appropriate to use from the above list. (Section 11.7)

o
__Past
exams__: Exam 3 Fall 2017, Exam 3 Fall 2018, Exam 3 Spring 2019

o
__Practice
exercises__: Practice problems for Exam 3 with solutions.

·
EXAM 4

o
__Material
covered__:

·
Calculate the radius
and interval of convergence for a power series. (Section
11.8)

·
Create new power series
from old ones by combining, integrating, or differentiating. (Section 11.9)

·
Calculate the first
several terms of the Taylor series for a function at *x = a*. (Section 11.10)

·
Use a Taylor
polynomial to approximate a given number (such as *e^1/4* or *squareroot**(**4.02)*). (Section 11.10)

·
Use Taylor's
Remainder Theorem to estimate the error in an approximation using a Taylor
polynomial. (Section 11.11)

·
Use a Taylor series
to evaluate a limit. (Section 11.10)

·
Use a Taylor series
to approximate a definite integral. (Section
11.10)

·
Graph a curve given
by parametric equations. (Section 10.1)

·
Identify a curve
from parametric equations by eliminating the parameter to obtain an equation in
*x* and *y*. (Section 10.1)

·
Write parametric
equations for a curve of any of the following types: (Section 10.1)

Ø line or segment of a line

Ø circle or arc of a circle

Ø curve given by a functional relationship *y = f (x)* or *x = g(y)*

·
Calculus with
parametric curves: (Section 10.2)

Ø tangents

Ø areas

Ø arc length

Ø surface area

o
__Past
exams__: Exam 4 Fall 2017, Exam 4 Fall 2018, Exam 4 Spring 2019

o
__Practice
exercises__: Practice problems for Exam 4 with solutions.

·
FINAL EXAM

o
__Material
covered__: topics NOT
included in the exam are:

·
Approximate
integration (Section 7.7)

·
Approximation and
error estimates using Taylor polynomials (the
corresponding material from Sections 11.10 and 11.11)

·
Binomial series (the corresponding material from Section 11.10)

·
Conic sections (Section 10.4)

o
__Past
exams__: Final Exam Fall 2017, Final Exam Fall 2018

o
__Practice
exercises__: Practice problems for material covered
after Exam 4 with solutions.