Mathematics 1000 is an introduction to calculus. It develops crucial
concepts like limits, continuity and derivatives, using a wide variety of
functions: algebraic, trigonometric, exponential and logarithmic functions
all feature heavily, while inverse trigonometric and hyperbolic functions
are introduced. The course takes a chiefly computational approach, with an
emphasis on applications to problems such as related rates, optimisation,
kinematics and curve sketching. Students are expected to enter Mathematics
1000 with a good grasp of algebra and trigonometry, but are not assumed to
have any prior experience with calculus.
On this page, you'll be able to download course handouts (including
assignments, tests and solutions). If there is a disruption to the class
schedule -- because of weather, for instance -- you should check this page
for news relating to modified due dates and the like. Corrections to any
errors on assignments or worksheets will also be posted here... although
I'll try my best not to make any!
Remember that you can always contact me at
[Your browser cannot view this email address; please turn on JavaScript] .
- This course has now concluded. Best of luck with your future
studies.
- Assignment 1 with Solutions (revised; due
Wednesday, September 21st)
- Assignment 2 with Solutions (due
Wednesday, September 28th)
- Assignment 3 with Solutions (due
Wednesday, October 12th)
- Assignment 4 with Solutions (due
Wednesday, October 19th)
- Assignment 5 with Solutions (due
Wednesday, November 2nd)
- Assignment 6 with Solutions (due
Wednesday, November 9th)
- Assignment 7 with Solutions (due
Wednesday, November 23rd)
- Test 1 (written Wednesday, October 5th)
- Test 2 (written Wednesday, October 26th)
- Test 3 (written Wednesday, November 16th)
- Section 1.1: The Limit
- Section 1.2: Finite Limits
- Section 1.3: The Properties of Limits
- Section 1.4: The Properties of Limits
- Section 1.5: Limits at Infinity
- Section 1.6: Continuity
- Section 1.7: Continuity on an Interval
- Section 2.1: Rates of Change
- Section 2.2: The Limit Definition of the Derivative
- Section 2.3: Derivatives of Algebraic Functions
- Section 2.4: The Product and Quotient Rules
- Section 3.1: Derivatives of Exponential and Trigonometric
Functions
- Section 3.2: The Chain Rule
- Section 3.3: Implicit Differentiation
- Section 3.4: Derivatives of Logarithmic Functions
- Section 3.5: Inverse Trigonometric Functions and their
Derivatives
- Section 3.6: Hyperbolic Functions and their Derivatives
- Section 3.7: Higher Derivatives
- Section 4.1: Related Rates
- Section 4.2: Relative Extrema and Points of Inflection
- Section 4.3: Curve Sketching
- Section 4.4: Absolute Extrema
- Section 4.5: Optimisation Problems
- Section 4.6: L'Hôpital's Rule
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