MATH 101 Section 213: Integral Calculus with Applications to Physical Sciences and Engineering
Instructor of Section 213:
Office: LSK 303
Lectures time and location for Section 213
- Tuesday 5:00pm - 6:00pm, in LSK 300
- Thursday 5:00pm - 6:00pm, in LSK 300
- or by appointment (feel free to send me an email to arrange)
Common Course Information
- Common course information for all MATH 101 sections can be found here
- More specific direct links are given below:
- The first day of class is Monday, January 6th 2020 and the last day of class is Wednesday, April 8th 2020.
- Midterm Exam: Friday February 14th 12pm - 12:45pm, Buchanan A202
See here for more details (including past midterms). Coverage of midterm is up to trigonometric substitutions inclusive, and partial fraction will not be covered.
- Final exam is scheduled on April 16, 2020, 15:30pm at OSBO A.
- CLP-2 Integral Calculus problem book is highly recommended:
While it is good to work in study groups remember that there is a great difference
between looking at a solution and saying “I get that” and actually doing a problem!
Math is not an “organic subject” akin to reading a novel for pleasure. You need to
work through problems carefully with a pencil and paper and really understand what
you are doing.
So please do some of the homework problems on your own under exam
conditions — no help from friends, google or notes.
I would encourage you to work together on homework problems — especially when you
get stuck. But remember, you will be writing all your assessment by yourself. There is
no better way to prepare yourself for exams than by doing lots of problems
by yourself. — do lots of problems.
- Weekly Schedule
- Jan. 6: Course introduction, summation notation, Riemann sum (CLP § 1.1.2, CLP § 1.1)
- Jan. 8: Examples on Riemann sum, definite integral (CLP § 1.1.3)
- Jan. 10: Computing definite integrals using geometric shapes, signed area, distance traveled, properties of definite integrals, even and odd functions (CLP § 1.1.4, CLP § 1.2)
- Jan. 13: Fundamental Theorem of Calculus (FTC) part I, indefinite integrals for some special functions (CLP § 1.3)
- Jan. 15: Cancelled due to heavy snow
- Jan. 17: Leibniz integral rule, Fundamental Theorem of Calculus (FTC) part II, distance traveled & displacement (CLP § 1.3)
- Jan. 20: Substitution rule for indefinite integrals (CLP § 1.4)
- Jan. 22: Substitution rule for definite integrals (CLP § 1.4)
- Jan. 24: Area between curves (CLP § 1.5)
- Jan. 27: Volume of solids (CLP § 1.6)
- Jan. 29: Work (CLP § 2.1)
- Jan. 31: Examples on work, average of a function (CLP § 2.1, CLP § 2.2)
- Feb. 3: Integration by parts (CLP § 1.7)
- Feb. 5: Trigonometric integrals part I: sine and cosine (CLP § 1.8.1)
- Feb. 7: Trigonometric integrals part II: tangent and secant (CLP § 1.8.2)
- Feb. 10: Trigonometric substitution (CLP § 1.9)
- Feb. 12: Trigonometric substitution; Review
- Feb. 14: Midterm: 12pm - 12:45pm
- One-week gap: reading break
- Feb. 24: Partial fractions (CLP § 1.10)
- Feb. 26: Numerical integration: Midpoint and Trapezoid Rules (CLP § 1.11)
- Feb. 28: Numerical integration: Simpson's Rule; Improper integrals (CLP § 1.12)
- Mar. 2: Improper integrals
- Mar. 4: Centre of mass (CLP § 2.3.1)
- Mar. 6: Separable differential equations (CLP § 2.4.1)
- Next week:
- Sequences and series (CLP Chapter 3)