Land

Engineering Analysis II

Currently Studying:

Multivariable Integral Calculus

Currently Studying:

Introductory Topics in Asian Languages and Cultures

Currently Studying:

• Anthropological, cultural, historical, and social development of fashion, clothing, textiles, and consumption in East Asia (past and present).

Design Thinking and Communication

Currently Studying:

Chinese II - Advanced

Currently Studying:

Engineering Analysis

Studied:

• Foundations of Linear Algebra

Vectors and matrices: operations, addition, scalar multiplication, and matrix-vector multiplication.

Linear combinations, span, and parametric vector forms.

Solution sets for linear systems, row reduction, echelon form, and augmented matrices.

• Programming with MATLAB

MATLAB basics: vectors, matrices, arithmetic, and built-in functions.

Plotting, logical expressions, branches, loops, and user-defined functions.

Error checking, optional arguments, and iterative solutions (e.g., PageRank).

• Advanced Linear Algebra Concepts

Markov chains and linear transformations.

Subspaces, null spaces, column spaces, bases, and dimensions.

Orthogonality: inner products, orthogonal projections, and Gram-Schmidt process.

Least squares methods and applications.

Advanced Inorganic Chemistry

Studied:

• Quantum Mechanics and Atomic Structure

Photoelectric effect, wavefunctions, orbitals, and nodes.

Periodic trends, Aufbau principle, and Hund’s rule.

• Chemical Bonding

Ionic and covalent bonds, Lewis structures, resonance, and polarity.

VSEPR, valence bond theory, and molecular orbital theory.

• Condensed Matter and Intermolecular Forces

Phase transitions, liquids, solids, and gas laws.

Intermolecular forces and deviations from ideal gases.

• Special Topics

Conjugated polymers, band theory, and transition metal complexes.

Electron transfer and kinetic theory of gases

Multivariable Differential Calculus

Studied:

• Vectors and 3D Geometry

3D coordinate systems, vectors, dot and cross products, lines, and planes in space

• Curves, Motion, and Calculus in Space

Curves, tangents, arc length, curvature, acceleration components, and vector integrals

• Functions of Several Variables

Partial derivatives, the chain rule, directional derivatives, gradients, tangent planes, linear approximation, Taylor polynomials, and applications

• Optimization and Lagrange Multipliers

Extreme values, saddle points, optimization, and Lagrange multipliers

Chinese I - Advanced

Studied:

• Chinese immigrants' habits