**Term taught**

**Lecturer**

E-mail: lebed (at) maths.tcd.ie

Office: 1.5, School of Mathematics

Any questions or remarks or calls for help are welcome!

**Schedule**

Tuesday 12:00 (MacNeil Theatre, Hamilton Building)

Friday 9:00 (MacNeil Theatre, Hamilton Building)

Homework problems: HW1 (due: week 2), HW2 (due: week 3), HW3 (due: week 4).

Final exam problems will be very close to your homework assignments, so spending some time on your homework and trying to solve problems independently of your classmates is a key to success at the exam!

2. Domain and range of a function. Digression on intervals, rays, and operations on them. Slides

3. Building new functions from old ones: arithmetic operations and composition. Slides

4. Functions with symmetries. Parametric families of functions. Slides

5. Classical functions: polynomial, rational, algebraic, trigonometric. Slides

6. Inverse functions: definition, examples, uniqueness, x-y symmetry. Slides

7. Inverse functions: graphs, existence, inverse trigonometric functions. Cf. slides from Lecture 6.

There will be a single exam and a single mark for the module MA1S11, which means that half of the exam paper will be about calculus and the other half about linear algebra/discrete mathematics (the part taught by Prof. McLoughlin).

- Howard Anton, Irl Bivens, Stephen Davis, "Calculus: late
transcendentals", any edition.

Limits and Derivatives

Integration

Trigonometrical, Logarithmic, and Exponential Functions

Applications