MATH 265  Winter 2017
University Calculus I
Course Outline
Instructor:

Anatoliy Swishchuk
E-mail: aswish@ucalgary.ca
Office: MS552
Tel.: (403) 220-3274
Office Hours: MW:13:00pm-14:30pm
Teaching Assistants:
Horoub, A.: MS332; (403) 220-7983; ayman.horoub@ucalgary.ca

Chugunova, M.: MS334; (403) 220-5046; marina.chugunova@ucalgary.ca
Ali, S.: MS482, (403) 220-7260; syeda.ali2@ucalgary.ca

Place:  ENC 70

Lectures Schedule and Labs
Lectures Schedule L01
Labs  Schedule
Monday/Wednesday/Friday  11:00-11:50am  (ENC 70)
 B01 M 13:00-13:50, SB 142 (Horoub, A.
 B02 T  10:00-10:50, SB 142 (Chugunova, M.)
 B03 W 12:00-12:50, ST 127 (Horoub, A.)
 B04 R  15:00-15:50, SB 142 (Ali, S.)


Syllabus

Limits, derivatives, and integrals; the calculus of exponential,
logarithmic, trigonometric and inverse trigonometric functions.
Applications including curve sketching, optimization, exponential growth and decay, Taylor polynomials.
Fundamental theorem of calculus. Improper integrals. Introduction to partial differentiation.

Course Information Sheet

 Important Class Dates:
First day of classes: 11:00am, Monday, January 9, 2017
Midterms:  1) Thursday, February 9, 7:00-8:30pm & 2) Thursday, March 23, 7:00-8:30pm
Final Exam: Tuesday, April 25, 2017, 8:00-10:00am, Room-St 140
Last day of classes: 11:00am, Wednesday, April 12, 2017
 
Final Exam:
Tuesday, April 25, 2017, 8:00-10:00am, Room-ST 140

Recommended text
s:

1) Main Textbook: Calculus: Early Transcendental, An Open Text, by David Guichard
(You may download from: https://lalg1.lyryx.com/textbooks/CALCULUS_1/ucalgary/winter2016/math265/
Guichard-Calculus-EarlyTrans-UofCalgary-MATH265-W16.pdf)

or
2) Optional Textbook: Essential Calculus, Early Transcendental, by J. Stewart, 2nd edition, Brooks/Cole – sold in the
University Bookstore.


Course Web Page:
There is a web page for this course which contains the course outline, tentative course schedule,  grading scheme, important class dates, Lecture notes, etc.
The lecture notes will be posted on this web and contain only basic definitions, notations, notions, etc. Examples and full explanations of all the materials will be given in class.
Announcements made in class will be posted here (see end of this web-page). The address of this web page is: http://people.ucalgary.ca/~aswish/math265W2017.html/

Midterms (2)
There will be 2 Midterms:
1) Thursday, February 9, 7:00-8:30pm, room-
ST135,141,143,145 &
2) Thursday, March 23, 7:00-8:30pm-room-
ST135,141,143,145

Final Exam: Tuesday, April 25, 2017, 8:00-10:00am, Room-ST 140
It will cover all the materials covered in this course. 

Grading scheme (Course Evaluation):

 Exam, Midterm, Assignments
Value (% of your final mark)
Dates
Midterms (2)
38%
1) Thursday, February 9, 7:00-8:30pm, rooms-ST 135, 141, 143, 145 &
2) Thursday, March 23, 7:00-8:30pm-rooms-
ST 135, 141, 143, 145
Assignments (6) (WebWork  or  D2L)
18%
~One in two weeks (Sundays: A#1-Jan 29, A#2-Feb12, A#3-Mar 5, A#4-Mar 19, A#5-Apr 2, A#6-Apr 18)
Final Exam 44%  Tuesday, April 25, 2017, 8:00-10:00am, Room-ST 140




Tentative Lectures Schedule for Math 275 (based on Guichard's book) (Mid-term Break: February 19-26)
Month
Day
Monday
Day
Wednesday
Day
Friday
Jan
9
Lec1: Introduction. Review of Power, Trigonometric, Exponential and Logarithmic functions, Absolute Value and Piecewise Functions (Chapter 2)
11
Lec2: Review of Limits. One-sided Limits. Operations on Limits. Squeeze Theorem (Chapter 3, sec. 3.1-3.4).
13
Lec3: Review of Trigonometric Limits. Infinite limits and vertical asymptotes (Chapter 3, sec. 3.5-3.6).
Jan
16
Lec4: Definition of Continuity, Different Types of Continuity (Chapter 3, sec. 3.7) 18
Lec5: Operations on Continuous Functions,  Types of Discontinuity, Intermediate Value Theorem (Chapter 3, sec. 3.7) 20
Lec6: Limits at Infinity (Chapter 3, sec. 3.5).
Jan
23
Lec7: Infinite Limits at Infinity (Chapter 3, sec. 3.5) 25
Lec8: Derivatives: Definitions, Calculations (Chapter 4, sec. 4.1-4.2) 27
Lec9: Differentiation Formulas and Rules (Chapter 4, sec. 4.3-4.4)
Jan-Feb
30
Lec10: Derivatives of Exp and Log Functions,
the Slopes of a Curve (sec. 4.6, sec. 1.2.1)
1
Lec11: Differentiability, Tangent
Line and Linearization (sec. 4.2.1, 5.4)
3
Lec12: Chain Rule and Implicit Differentiation (sec. 4.5, 4.7)
Feb
6
 Lec13: Mean Value Theorem. Interval of increase and decrease (sec. 5.3) 8
Lec14: Inverse Function and its Derivative (sec. 4.8) 10
Lec15: The inverse trigonometric functions and their derivatives I (sec. 4.8.1) I
Feb
13
Lec16: The inverse trigonometric functions and their derivatives II (4.8.1) (continuation of L.15, more examples) 15
Lec17: Linearization, Taylor Polynomials and Theorem (sec. 5.4.1, 5.4.3) 17
Lec18: Differentials and Applications (sec. 5.4.2)
Feb-Mar
27
Lec19: Indeterminate forms and l'Hopital's Rule (sec. 5.5) 1
Lec20: L'Hopital's Rule II (continuation of Lec. 19) 3
Lec21: Local Extrema, Fermat's Theorem, Critical Points (sec. 5.2.2)
Mar
6
Lec22: First and Second Derivative Tests (sec. 5.6.1-5.6.2) 8
Lec23: Concavity, Inflection Points, Absolute Extrema (sec. 5.6.3) 10
Lec24: Optimization Problems (sec. 5.7)
Mar
13
Lec25: Curve Sketching (sec. 5.6) 15
Lec26:  Newton's Method (5.4.4)
17
Lec27: Anrtiderivatives, Indefinite Integral, Initial Value Problem (sec. 6.1-6.3)
Mar
20
Lec28: Techniques of Integration: Substitution Rule (sec. 7.1) 22
Lec29: Exponential Growth and Decay 24
Lec30: Areas, Properties of Areas, Area Calculations (sec. 6.1)
Mar
27
Lec31: Riemann Sums, Definite Integral (sec. 6.1) 29
Lec32: Properties of Definite Integral, Fundamental Theorem of Calculus (sec. 6.2)
31
Lec33:  Areas Between Curves (sec. 8.2)
Apr
3
Lec34:  Improper Integrals of Type I (sec. 7.2) 5
Lec35:  Improper Integrals of Type I
and Type II (sec. 7.2)
7
Lec36: Improper Integrals of Type II (sec. 7.2)
Apr
10
Lec37: Functions of Two and Three Variables, Domain, Range, Graphs (sec. 9.1).
(Quadratic Surfaces Pictures)
12
Lec38: Partial Derivatives (sec. 9.3).
(and Pictures for Partial Derivatives)
14
 


  The above schedule is only tentative, it might be modified throughout the term, as some topics require additional time (see also Weekly Schedule, based on Stewart's book).

Announcements:

 


Your Marks for Final Exam Are UP on D2L
Final Info & Final PracticeA & Final PracticeB
Solutions: PracticeA & PracticeB
*
Math265 Review (SCUM Math & Stat Review Session):
1-4pm, April 22, Saturday, ST141 (free for SCUM members or $10 at the door)

*
--Your Marks for Midterm 2 are on D2L
(Solutions to MDT 2: Version 11 and Version 22)
(Midterm 2 Practice)

ScantronSampleMath265

*

--Your Marks for Midterm 1 are on D2L
(Solutions to Midterm 1: Version 11 and Version 22)
 (2016 Midterm 1 with solutions)

*
--Review Worksheet 1 (with solutions): Jan 09-13
Worksheet 2 (with solutions): Labs-Jan 16-20
Worksheet 3 (with solutions): Labs-Jan 23-27
Worksheet 4 (with solutions): Labs-Jan 30-Feb 3
Worksheet 5 (with solutions): Labs-Feb 6-10
Worksheet 6 (with solutions): Labs-Feb 13-17
Worksheet7 (with solutions): Labs-Feb27-Mar03
Worksheet8 (with solutions): Labs-Mar6-10
Worksheet9 (with solutions): Labs-Mar13-17
Worksheet10 (with solutions): Mar 20-24
Worksheet11 (with solutions): Mar 27-31
Worksheet12 (with solutions): Apr 3-7
Worksheet13(with solutions): Apr 10-14

*

--6 Assignments are on D2L
(Can also be accessed through
Microsoft Word - Math265_W16_Info_Sheet.docx webwork.ucalgary.ca/webwork2)

*
--Continuous Tutorial Schedule

This page was updated on April 27, 2017