SYLLABUS,  HOMEWORK  and  NOTES

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Course Syllabus

Math 119-01 Syllabus

Math 119-02 Syllabus

Math 119-03 Syllabus

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Homework Assignments

Homework (pdf)

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Class Lecture Notes

Topic 1: Historical Introduction to Geometry

Topic 2: Some Fundamental Euclidean Constructions & Propositions, the Real Numbers, Area in the Plane

Topic 3: More Constructions, Some Area Formulas for Polygons, the Area and Circumference of a Circle

Topic 4: More Theorems about Circles, Derivations of the Volume Formulas for Cylinders, Pyramids, Cones and Spheres

Topic 5: Some Additional Euclidean Propositions and a Summary of Previous Results

Topic 6: Right Triangle Trigonometry, Inverse Trig Functions, Distance Formulas, Trig Functions of General Angles, the Laws of Sines and Cosines

Topic 7: Circumcircles and Incircles of Triangles

Topic 8: Solar Geometry

Topic 9: Radian Measure, Arc Length, Rotation and Plotting Trig Functions

Topic 10: Polar Coordinates

Topic 11: Straight Lines, Circles, Parabolas and Rotations and Translations of General Curves in the Plane

Appendix: Equations of Quadric Surfaces and Cylinders in 3-space

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Related Class Articles

Some Fundamental Ideas in Euclidean & Analytic Geometry

24 Euclidean Propositions

Euclid's Elements (pdf)

Interior Angle Sum Theorem

Inscribed & Central Angle Theorem

Tangent Line Perpendicular to Radial Line

The Equivalence of the 3 Congruence Criteria for Triangles

Some Criteria for Similar Triangles

Triangle Similarity and its Implications

Ptolemy's Theorem

Volumes of Cylinders, Pyramids, Cones & Spheres

The Laws of Sines and Cosines

Geometrical Constructions by Compass & Straight-Edge

Practical Geometry for Art Students  -  by John Carroll (pdf)

Circumcircles and Incircles for Triangles

Introduction to Solar Geometry

Longitude, Latitude & Distance Along the Surface of the Earth

3-Dimensional Coordinates, Longitude & Latitude Formula Sheet

Video Clip of Rectangular & Polar Plot

Geometry of Families of Curves Described by Conchoids

Distance from Point to Line Theorem

Rotation & Translation Theorems for Graphs in the xy-plane

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Trigonometry Review - Section 1: Angles & their Measure

Trigonometry Review - Section 2: Trig Functions

Trigonometry Review - Section 3: Evaluation of Trig Functions

Trigonometry Review - Section 4: Fundamental Trig Identities

Trigonometry Review - Section 5:Trig Formulas for Sums & Differences

Trigonometry Review - Section 6: Solving Right Triangles

Trigonometry Review - Section 7: Solving Oblique Triangles - Law of Sines

Trigonometry Review - Section 8: Solving Oblique Triangles - Law of Cosines

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The Standard Form Parabola

The Standard Form Ellipse

The Standard Form Hyperbola

The Conics & Spectrum of Eccentricities

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References

Euclid's Elements (pdf)

Practical Geometry for Art Students  -  by John Carroll (pdf)

Polar Graph Paper Templates (pdf)   - Download additional templates here

Math Tutoring

• Math TA Tutoring is now available in Room RE 129 Mondays thru Fridays from 9:00 AM - 5:30 PM.
  To see the complete schedule of TA office hours click here

• ARC Tutoring in many subject areas is available in the Galvin Library - View the schedule here