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Precalculus and Algebra
CHEM 107, CHEM 117, CVEN 302, CVEN 322
Natural logrithms with a caculator Logrithms Logrithms of a power Sum of logrithms with same base CVEN 342, CVEN 363 Logrithmic scale CVEN 211, CVEN 322
Ratio problem with basic algebra Writing proportions Find an unknown in a proportion Find an unknown in a proportion 2 Proportions 2 exercise examples Constructing proportions to solve application problems Golden Ratio CVEN 221, CVEN 305, CVEN 345
More negative exponent intuition Evaluating exponential expressions 3 Basic fractional exponents Solving radical equations Solving radical equations 1 Solving radical equations 2 Solving radical equations 3 CVEN 301
Exponential growth functions Exponential growth and decay word problems CVEN 303
Midpoint formula Distance formula Slope of a line Slope of a line 2 |
CVEN 305, CVEN 363
How to use the quadratic formula ALL COURSES
Variables, expressions, and equations Treating units algebraically and dimensional analysis Figuring out units from a formula Working with units algebraically Reasonable units CVEN 302, CVEN 322, CVEN 445
Matrix multiplication (all) Inverting matrices (all) CVEN 221, CVEN 305, CVEN 345
Adding vectors Components of vectors Breaking down vectors into components Three way tug of war vectors Force contribution while pushing a box MATH 151, MATH 152, MATH 251, CVEN 221, CVEN 205, CVEN 345
Introduction to limits Introduction to limits Limit examples part 1 Limit examples part 2 Limit examples part 3 STAT 211
Basic probability Example: marbles from a bag Example: picking a non-blue marble Example : picking a yellow marble |
Geometry
ALL COURSES
Language and notation of basic geometry
Circles: Radius, diameter, and circumference Complementary and supplementary angles The Pythagorean Theorem Intro
Pythagorean theorem Pythagorean theorem 2 Pythagorean theorem Distance formula Distance formula 30-60-90 triangle side ratios proof 45-45-90 triangle side ratios 30-60-90 triangle example problem Special right triangles Angles formed by parallel lines and transversals Identifying parallel and perpendicular lines Figuring out angles between transversal and parallel lines Triangle area proofs
Interesting perimeter and area problems Quadrilateral overview Area of a parallelogram Area of a trapezoid Cylinder volume and surface area Volume of a sphere Language and notation of the circle
Inscribed and central angles Equation for a circle using the Pythagorean Theorem Completing the square to write equation in standard form of a circle Recognizing points on a circle
Distance formula Midpoint formula |
Using a protractor
Measuring angles Measuring angles CA Geometry: Deducing angle measures Angles formed by parallel lines and transversals Figuring out angles between transversal and parallel lines Similarity triangle basics
Similarity postulates Similar triangles 1 Similar triangle example problems Similarity example problems Finding area using similarity and congruence Pythagorean theorem
Pythagorean theorem II 45-45-90 triangles Intro to 30-60-90 triangles 30-60-90 triangles II 30-60-90 Triangle side ratios proof 45-45-90 Triangle side ratios 30-60-90 Triangle example problem Special right triangles Basic trigonometry Trigonometry 0.5 Trigonometry II Trigonometry 1 Trigonometry 1.5 Example: Trig to solve the sides and angles of a right triangle Trigonometry 2 Showing relationships between cosine and sine of complements Point-line distance and angle bisectors
Angle bisector theorem proof Angle bisector theorem Triangle medians and centroids |
Trigonometry
ALL COURSES
Basic trigonometry
Trigonometry 0.5 Basic trigonometry II Trigonometry 1.5 Example: Trig to solve the sides and angles of a right triangle Showing relationship between cosine and sine of complements Secant (sec), cosecant (csc) and cotangent (cot) exampleExample: Using trig to solve for missing information Introduction to radians Finding arc length from radian angle measure Radian and degree conversion practice Example: Converting degrees to radians Example: Converting radians to degrees Unit circle definition of trig functions Example: Trig function values using unit circle definition Unit circle trigonometry Midline, Amplitude, and period of a function Example: Amplitude and period Example: Graph, domain, and range of sine function Example: Graph of cosine Example: Amplitude and period transformations Example: Amplitude and period cosine transformations Determining the equation of a trig function Graphs of sine and cosine Plotting maxima, minima, and midline intersections of trig functions Inverse trig functions: arcsin Inverse trig functions: arccos Inverse trig functions: arctan Example: Calculator to evaluate inverse trig functions Angle of sun with the ground based on shadow How much of a pyramid is submerged Angle to aim to get alien |
Symmetry of trig values
Using the Pythagorean trig identity Law of cosines Law of cosines Law of sines |
For further information, please contact Dr. Kelly Brumbelow, Civil Engineering Undergraduate Student Services Office ([email protected])