Faculty of Engineering and Applied Science
Chapter 1: Fundamentals
Chapter 2: Partial Differentiation
Chapter 3: First Order Ordinary Differential Equations (1st Order O.D.E.’s)
Chapter 4: Linear Ordinary Differential Equations of Higher Order
Chapter 5: Laplace Transforms
Chapter 6: Multiple Integration (only if time permits)
Note: This list is subject to change as the term
progresses.
Approximate references to textbook chapters are
in brackets.
1. | Fundamentals |
---|---|
1.A | Parametric Curve Sketching (Stewart 11.1 and 11.2) |
1.B | Tangents and Normals (Stewart 14.3) |
1.1 | Lines and Planes (Stewart 13.5) |
1.2 | Polar Curves: [if it was not covered in ENGI 1405] (Stewart 11.3, 11.4) |
1.3 | Area, Arc Length, Tangents and Normals, Curvature (Stewart 14.3; O’Neil 11.2) |
1.4 | Conic Sections (Stewart 11.5) |
1.5 | Quadric Surfaces (Stewart 13.6) |
1.6 | Equations and Surface Areas of Surfaces of Revolution |
1.7 | Hyperbolic Functions |
1.8 | Integration by Parts |
1.9 | Leibnitz Differentiation of a Definite Integral |
2. | Partial Differentiation (Stewart 15.3-15.8) |
2.1 | Partial Derivatives |
2.2 | Higher Partial Derivatives |
2.3 | Differentials |
2.4 | The Jacobian |
2.5 | The Gradient Vector (O’Neil 11.4) |
2.6 | Maxima and Minima |
2.7 | Lagrange Multipliers |
2.8 | Miscellaneous Additional Examples |
3. | First Order Ordinary Differential Equations (O’Neil 1, except 1.6, 1.8) |
3.1 | Classification; Separation of Variables |
3.2 | Exact First Order ODEs |
3.3 | Integrating Factor |
3.4 | First Order Linear ODEs |
3.5 | Reduction of Order |
3.6 | Applications |
4. | Second Order Linear Ordinary Differential Equations (O’Neil 2, except 2.5; Stewart 18.1-18.3) |
4.1 | Complementary Function |
4.2 | Particular Solution (Undetermined Coefficients) |
4.3 | Particular Solution (Variation of Parameters) |
4.4 | Higher Order Linear Ordinary Differential Equations |
5. | Laplace Transforms (O’Neil 3, except 3.7) |
5.01 | Transforms |
5.02 | Some Laplace Transforms |
5.03 | Laplace Transforms of Derivatives |
5.04 | First Shifting Theorem; Transforms of Exponential, Cosine and Sine Functions |
5.05 | Applications to Initial Value Problems |
5.06 | Laplace Transform of an Integral |
5.07 | Heaviside Function; Second Shift Theorem |
5.08 | The Dirac Delta Function |
5.09 | Laplace Transforms of Periodic Functions |
5.10 | The Derivative of a Laplace Transform |
5.11 | Convolution |
6. | Multiple Integration (Stewart 16) |
6.1 | Double Integrals (Cartesian Coordinates) |
6.2 | Double Integrals (Polar Coordinates) |
6.3 | Triple Integrals |
Please bring the lecture notes with you to every class.
There are many intended gaps in the notes, which will be filled in during lectures. A non-gapped version of each chapter will be made available, as a Word document on the web site, only after the final lecture for that chapter has taken place. See the notes section of the web site.
Lectures for all students take place on Mondays, Tuesdays, Wednesdays
and Fridays
at 09:00 in room EN 2006
(the Angus Bruneau Engineering Lecture Theatre)
Tutorials |
||
Section |
Day / Time |
Location |
Sections 1 and 2 |
Thu. 11:00 - 11:50 |
EN 2007 |
Sections 3 and 4 |
Fri. 13:00 - 13:50 |
EN 1040 |
Sections 5 and 6 |
Wed. 15:00 - 15:50 |
EN 2007 |
Office hours are as posted on the timetable on the door of
Dr. George’s office (EN 3047).
Tentative times are:
Mondays 13:15-14:00, Tuesdays 13:15-13:50,
Thursdays 12:00-12:50
and in the half hour before each lecture (M/Tu/W/F 08:20-08:50).
|
|
||||
|
|
||||
|
|
Dr. G.H. George
Faculty of Engineering and Applied Science S.J. Carew Building Memorial University of Newfoundland St. John’s, Newfoundland, Canada A1B 3X5 |