School of Mathematics
Mathematics Course 1S3 for JF Science students
Solutions to tutorial sheets
- Tutorial Sheet 1 [October 23 - November 3]
- The first tutorial sheet with solutions (on binary, octal and
hexadecimal numbers)
is available here in PDF format.
- Tutorial Sheet 2 [November 6 - 17]
-
More on binary, etc, including conversion of fractions to binary.
Available here in PDF format.
- Tutorial Sheet 3 [November 20 - December 1]
-
Parametric equations, tangent lines.
Available here in PDF format.
- Tutorial Sheet 4 [December 4-8 and January 8-12]
-
This is more like an exercise sheet than a tutorial sheet.
Question sheet available here in PDF format,
and solutions here.
- Tutorial Sheet 5 [January 15-26]
-
Mean Value Theorem. Asymptotes. Linear approximation.
Available here in PDF format.
- Tutorial Sheet 6 [January 29 - February 9]
-
Condition number.
Root finding (Intermediate Value Theorem, bisection method, Newtons
method).
Available here in PDF format.
- Tutorial Sheet 7 [February 12-23]
-
Numerical integration.
Riemann sums for definite integrals.
Trapezoidal rule and Simpsons rule.
Estimation of the error.
Available here in PDF format.
- Tutorial Sheet 8 [February 26 - March 9]
-
Efficient
(iterative) method for the trapezoidal rule and Simpsons rule.
Partial fractions.
Here.
- Tutorial/Exercise Sheet 9 [April 2 - 13]
-
This is more like an exercise sheet than a tutorial sheet.
Techniques of integration (powers of trigonometric functions sec and tan,
inverse trigonometric function substitutions, partial fractions)
and improper integrals.
Question sheet available here in PDF format,
and solutions here PDF format.
- Tutorial Sheet 10 [April 16 - May 4]
- Applications of integration. Fluid pressure, work.
Here.
- Tutorial Sheet 11 [last one]
-
Probability (binomial, Poisson, normal).
Questions are available here in PDF format.
Solution here.
