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Math 1090 is a pre-calculus course designed to prepare students for Math
1000. It covers a wide range of topics, from solving equations to graphing
functions to working with trigonometry and logarithms. Math 1090 is an
excellent course for anyone who feels that they need to improve their math
skills from high school -- or even just shake off the rust. It's a very
computational course, but students must be prepared to put in the work
needed to fully grasp any aspects of pre-calculus that they find
difficult.
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] .
- Forthcoming deadlines:
- WeBWorK #14: Monday, October 19th at 11:59pm
- WeBWorK #15: Monday, October 19th at 11:59pm
- Test #1: Friday, October 23rd
- Welcome to Math
1090!
- Week 1: Lecture #1 -- Sets, natural numbers, integers, rational
numbers, real numbers, intervals (Section 1.1)
- Week 1: Lecture #2 -- Sets that combine intervals (Section
1.1); exponents and their properties, simplifying exponential
expressions (Section 1.2)
- Week 2: Lecture #3 -- Polynomials and their degree and coefficients,
binomials and trinomials, adding and subtracting polynomials, multiplying
polynomials, common products useful for polynomials, factoring polynomials
involving common expressions (Section 1.3)
- Week 2: Lecture #4 -- Factoring using special formulas, factoring
trinomials (Section 1.3)
- Week 2: Lecture #5 -- Factoring trinomials that are not quadratic
polynomials, factoring by grouping (Section 1.3); absolute values
and their properties, simplifying absolute values (Section 1.4);
rational expressions, simplifying rational expressions (Section
1.5)
- Week 3: Lecture #6 -- Multiplying and dividing rational expressions,
adding and subtracting rational expressions using the lowest common
denominator, rational expressions and negative exponents, complex rational
expressions (Section 1.5); nth roots, principal nth
roots, radicals (Section 1.6)
- Week 3: Lecture #7 -- Radicals and fractional exponents, properties of
radicals, simplifying radical expressions (Section 1.6)
- Week 3: Lecture #8 -- Rationalising the denominator (Section
1.6); solving equations, linear equations, quadratic equations,
solving quadratic equations using factoring (Section 1.7)
- Week 4: Lecture #9 -- The quadratic formula, solving equations
involving higher-degree polynomials (Section 1.7); absolute value
equations (Section 1.8)
- Week 4: Lecture #10 -- Rational equations, radical equations
(Section 1.8)
- Week 5: Lecture #11 -- Solving inequalities, double inequalities,
absolute value inequalities (Section 2.1)
- Week 5: Lecture #12 -- Functions, domain, range, image, evaluating
functions, functions with a restricted domain, piecewise functions
(Section 2.2)
- Week 6: Lecture #13 -- Even functions, odd functions, the difference
quotient (Section 2.2); independent variables, dependent variables,
ordered pairs, the Cartesian plane, x- and y-coordinates of points
(Section 2.3)
- Week 6: Lecture #14 -- Finding domain and range from a graph, x- and
y-intercepts, the Vertical Line Test (Section 2.3); constant
functions and their graphs, linear functions and their graphs, vertical
lines (Section 2.4)
- Week 6: Lecture #15 -- The slope of a line, slope-intercept form,
point-slope form, general form of the equation of a line, parallel lines,
perpendicular lines (Section 2.4); quadratic functions and their
graphs, standard form of the equation of a parabola (Section
2.5)
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