Lernziele:

1. Apply the binomial theorem for positive integer exponents

2. Convert complex numbers between rectangular and trigonometric forms

3. Use De Moivre's theorem for powers and roots of complex numbers

4. Analyze vectors and perform vector operations in 3D space

5. Determine equations of lines and planes in 3D coordinate systems

6. Solve problems involving cubic roots of unity

7. Calculate specific terms in binomial expansions

Module

Lernziele:

1. Apply implicit and parametric differentiation techniques

2. Compute higher-order derivatives of functions

3. Differentiate exponential and logarithmic functions

4. Analyze function behavior (increasing/decreasing, extrema)

5. Sketch curves using calculus methods

6. Solve optimization problems using derivatives

7. Integrate exponential and logarithmic functions

8. Apply various integration methods (substitution, parts, etc.)

9. Evaluate definite integrals and apply them to real-world problems

Module