Dave's Web Corner

MTH-121 Week 13 (March 30-April 5)

recommended problems
- 3, 5, 7, 9, 11, 13, 19, 23, 27, 31, 3, 37, 39, 43, 45
learning objectives
- observe how everything learned about vectors in the plane, including the calculations of addition, subtraction, scalar multiplication, magnitude, dot product, angle, and projection, can be extended to three-dimensional space
- understand the representation of a vector with the direction angles, sometimes called the direction cosines

recommended problems
- 1, 3, 7, 9, 13, 15, 19, 21, 33, 35, 37, 39, 41, 43, 47, 49
learning objectives
- calculate \( 2 \times 2 \) and \( 3 \times 3 \) determinants
- calculate the cross product of two three-dimensional vectors
- cross products and orthogonality
- cross products and area
- calculate the volume of a parallelepiped with the Scalar Triple Product

recommended problems
- 13, 21, 33, 39, 47, 55, 59, 63, 71, 77
learning objectives
- write square roots in terms of the number i
- simplify expressions containing the powers of i
- add, subtract, multiply, and divide complex numbers

recommended problems
- 9, 17, 21, 27, 33, 37, 45, 49, 53, 55
learning objectives
- graph complex numbers
- write equations containing complex numbers in trigonometric form

All assessments are completed at https://www.xyzhomework.com
Calendar of all XYZ Homework assessment deadlines (homework, quizzes, exams)
Homework
- Homework 12 due by 11:59pm, Saturday, April 5: Sections B.3, B.4, 8.1, 8.2
- Homework 13 due by 11:59pm, Saturday, April 12: Sections 8.3, 8.4, 8.5
Quiz
- Quiz 7 due by 11:59pm, Tuesday, April 1: Chapter 7
- Quiz B due by 11:59pm, Tuesday, April 8: Appendix B
Exam
- Exam 4 due by 11:59pm, Thursday, April 24: Chapters 7, 8, Appendix B