Experiment with the inclusion of real-world applications in your lesson plan. The abstract nature of mathematics can be disconnecting, even to students that excel in mathematics. Applying your lesson's theorems and proofs to real-world examples helps students envision how their work would be useful outside of academia.
Keep your students focused on the material while watching out for students who may struggle with it. Take note of the factors that cause your students to lose focus while keeping your lesson plan tight and fast to avoid lulls in the semester. Advanced math students enjoy a fast-paced lesson plan and a challenging curriculum. Push your students to keep their learning experience rewarding to them.
Offer tutoring sessions for students who struggle with your material. Students of both advanced and basic math curricula prefer small class sizes. While you can't always control how many students will be enrolled in your course, tutoring sessions give you a chance to help struggling students and can emulate a small-classroom structure.
Keep your students' morale up with encouragement. The high level of precision that is required in mathematics can be disheartening -- consider that a misplaced decimal or incorrect variable can make an entire problem incorrect. Gauge your students' responses to your encouragement.
Take feedback from your students. End-of-semester surveys are often required by schools and can be valuable tools in figuring out what engages your math students. Take your students' feedback to heart. Learn what they like and dislike about your class, and refine your approach for the next semester.